Une Degustation Topologique: Homotopy Theory in the Swiss Alps

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Publisher : American Mathematical Soc.
ISBN 13 : 0821820788
Total Pages : 249 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Une Degustation Topologique: Homotopy Theory in the Swiss Alps by : Dominique Arlettaz

Download or read book Une Degustation Topologique: Homotopy Theory in the Swiss Alps written by Dominique Arlettaz and published by American Mathematical Soc.. This book was released on 2000 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: The talks given at the Arolla Conference on Algebraic Topology covered a broad spectrum of current research in homotopy theory, offering participants the possibility to sample and relish selected morsels of homotopy theory, much as a participant in a wine tasting partakes of a variety of fine wines. True to the spirit of the conference, the proceedings included in this volume present a savory sampler of homotopical delicacies. Readers will find within these pages a compilation of articles describing current research in the area, including classical stable and unstable homotopy theory, configuration spaces, group cohomology, K-theory, localization, $p$-compact groups, and simplicial theory.

Algebraic Methods in Statistics and Probability

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Publisher : American Mathematical Soc.
ISBN 13 : 0821826875
Total Pages : 354 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebraic Methods in Statistics and Probability by : Marlos A. G. Viana

Download or read book Algebraic Methods in Statistics and Probability written by Marlos A. G. Viana and published by American Mathematical Soc.. This book was released on 2001 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 23 papers report recent developments in using the technique to help clarify the relationship between phenomena and data in a number of natural and social sciences. Among the topics are a coordinate-free approach to multivariate exponential families, some rank-based hypothesis tests for covariance structure and conditional independence, deconvolution density estimation on compact Lie groups, random walks on regular languages and algebraic systems of generating functions, and the extendibility of statistical models. There is no index. c. Book News Inc.

Council for African American Researchers in the Mathematical Sciences: Volume III

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Publisher : American Mathematical Soc.
ISBN 13 : 0821821415
Total Pages : 186 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Council for African American Researchers in the Mathematical Sciences: Volume III by : Council for African American Researchers in the Mathematical Sciences

Download or read book Council for African American Researchers in the Mathematical Sciences: Volume III written by Council for African American Researchers in the Mathematical Sciences and published by American Mathematical Soc.. This book was released on 2001 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents research and expository papers presented at the third and fifth meetings of the Council for African American Researchers in the Mathematical Sciences (CAARMS). The CAARMS is a group dedicated to organizing an annual conference that showcases the current research primarily, but not exclusively, of African Americans in the mathematical sciences, including mathematics, operations research, statistics, and computer science. Held annually since 1995, significant numbers of researchers have presented their current work in hour-long technical presentations, and graduate students have presented their work in organized poster sessions. The events create an ideal forum for mentoring and networking where attendees can meet researchers and graduate students interested in the same fields. For volumes based on previous CAARMS proceedings, see African Americans in Mathematics II (Volume 252 in the AMS series, Contemporary Mathematics), and African Americans in Mathematics (Volume 34 in the AMS series, DIMACS).

Fractal Geometry, Complex Dimensions and Zeta Functions

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Publisher : Springer Science & Business Media
ISBN 13 : 1461421756
Total Pages : 583 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Fractal Geometry, Complex Dimensions and Zeta Functions by : Michel Lapidus

Download or read book Fractal Geometry, Complex Dimensions and Zeta Functions written by Michel Lapidus and published by Springer Science & Business Media. This book was released on 2012-09-20 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. Throughout Geometry, Complex Dimensions and Zeta Functions, Second Edition, new results are examined and a new definition of fractality as the presence of nonreal complex dimensions with positive real parts is presented. The new final chapter discusses several new topics and results obtained since the publication of the first edition.

Integrable Systems, Topology, and Physics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821829394
Total Pages : 344 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Integrable Systems, Topology, and Physics by : Martin A. Guest

Download or read book Integrable Systems, Topology, and Physics written by Martin A. Guest and published by American Mathematical Soc.. This book was released on 2002 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideas and techniques from the theory of integrable systems are playing an increasingly important role in geometry. Thanks to the development of tools from Lie theory, algebraic geometry, symplectic geometry, and topology, classical problems are investigated more systematically. New problems are also arising in mathematical physics. A major international conference was held at the University of Tokyo in July 2000. It brought together scientists in all of the areas influenced by integrable systems. This book is the second of three collections of expository and research articles. This volume focuses on topology and physics. The role of zero curvature equations outside of the traditional context of differential geometry has been recognized relatively recently, but it has been an extraordinarily productive one, and most of the articles in this volume make some reference to it. Symplectic geometry, Floer homology, twistor theory, quantum cohomology, and the structure of special equations of mathematical physics, such as the Toda field equations--all of these areas have gained from the integrable systems point of view and contributed to it. Many of the articles in this volume are written by prominent researchers and will serve as introductions to the topics. It is intended for graduate students and researchers interested in integrable systems and their relations to differential geometry, topology, algebraic geometry, and physics. The first volume from this conference also available from the AMS is Differential Geometry and Integrable Systems, Volume 308 CONM/308 in the Contemporary Mathematics series. The forthcoming third volume will be published by the Mathematical Society of Japan and will be available outside of Japan from the AMS in the Advanced Studies in Pure Mathematics series.

Modern Differential Geometry of Curves and Surfaces with Mathematica

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Publisher : CRC Press
ISBN 13 : 1351992201
Total Pages : 872 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Modern Differential Geometry of Curves and Surfaces with Mathematica by : Elsa Abbena

Download or read book Modern Differential Geometry of Curves and Surfaces with Mathematica written by Elsa Abbena and published by CRC Press. This book was released on 2017-09-06 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray’s famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones. Since Gray’s death, authors Abbena and Salamon have stepped in to bring the book up to date. While maintaining Gray's intuitive approach, they reorganized the material to provide a clearer division between the text and the Mathematica code and added a Mathematica notebook as an appendix to each chapter. They also address important new topics, such as quaternions. The approach of this book is at times more computational than is usual for a book on the subject. For example, Brioshi’s formula for the Gaussian curvature in terms of the first fundamental form can be too complicated for use in hand calculations, but Mathematica handles it easily, either through computations or through graphing curvature. Another part of Mathematica that can be used effectively in differential geometry is its special function library, where nonstandard spaces of constant curvature can be defined in terms of elliptic functions and then plotted. Using the techniques described in this book, readers will understand concepts geometrically, plotting curves and surfaces on a monitor and then printing them. Containing more than 300 illustrations, the book demonstrates how to use Mathematica to plot many interesting curves and surfaces. Including as many topics of the classical differential geometry and surfaces as possible, it highlights important theorems with many examples. It includes 300 miniprograms for computing and plotting various geometric objects, alleviating the drudgery of computing things such as the curvature and torsion of a curve in space.

Large Deviations

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Publisher : American Mathematical Soc.
ISBN 13 : 082182757X
Total Pages : 298 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Large Deviations by : Jean-Dominique Deuschel

Download or read book Large Deviations written by Jean-Dominique Deuschel and published by American Mathematical Soc.. This book was released on 2001 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second printing of the book first published in 1988. The first four chapters of the volume are based on lectures given by Stroock at MIT in 1987. They form an introduction to the basic ideas of the theory of large deviations and make a suitable package on which to base a semester-length course for advanced graduate students with a strong background in analysis and some probability theory. A large selection of exercises presents important material and many applications. The last two chapters present various non-uniform results (Chapter 5) and outline the analytic approach that allows one to test and compare techniques used in previous chapters (Chapter 6).

Advances in Algebraic Geometry Motivated by Physics

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Publisher : American Mathematical Soc.
ISBN 13 : 082182810X
Total Pages : 310 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Advances in Algebraic Geometry Motivated by Physics by : Emma Previato

Download or read book Advances in Algebraic Geometry Motivated by Physics written by Emma Previato and published by American Mathematical Soc.. This book was released on 2001 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our knowledge of objects of algebraic geometry such as moduli of curves, (real) Schubert classes, fundamental groups of complements of hyperplane arrangements, toric varieties, and variation of Hodge structures, has been enhanced recently by ideas and constructions of quantum field theory, such as mirror symmetry, Gromov-Witten invariants, quantum cohomology, and gravitational descendants. These are some of the themes of this refereed collection of papers, which grew out of the special session, ``Enumerative Geometry in Physics,'' held at the AMS meeting in Lowell, MA, April 2000. This session brought together mathematicians and physicists who reported on the latest results and open questions; all the abstracts are included as an Appendix, and also included are papers by some who could not attend. The collection provides an overview of state-of-the-art tools, links that connect classical and modern problems, and the latest knowledge available.

Orbifolds and Stringy Topology

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Publisher : Cambridge University Press
ISBN 13 : 1139464485
Total Pages : 138 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Orbifolds and Stringy Topology by : Alejandro Adem

Download or read book Orbifolds and Stringy Topology written by Alejandro Adem and published by Cambridge University Press. This book was released on 2007-05-31 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the theory of orbifolds from a modern perspective, combining techniques from geometry, algebraic topology and algebraic geometry. One of the main motivations, and a major source of examples, is string theory, where orbifolds play an important role. The subject is first developed following the classical description analogous to manifold theory, after which the book branches out to include the useful description of orbifolds provided by groupoids, as well as many examples in the context of algebraic geometry. Classical invariants such as de Rham cohomology and bundle theory are developed, a careful study of orbifold morphisms is provided, and the topic of orbifold K-theory is covered. The heart of this book, however, is a detailed description of the Chen-Ruan cohomology, which introduces a product for orbifolds and has had significant impact. The final chapter includes explicit computations for a number of interesting examples.

Algebraic Homotopy

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Publisher : Cambridge University Press
ISBN 13 : 0521333768
Total Pages : 490 pages
Book Rating : 4.5/5 (213 download)

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Book Synopsis Algebraic Homotopy by : Hans J. Baues

Download or read book Algebraic Homotopy written by Hans J. Baues and published by Cambridge University Press. This book was released on 1989-02-16 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a general outlook on homotopy theory; fundamental concepts, such as homotopy groups and spectral sequences, are developed from a few axioms and are thus available in a broad variety of contexts. Many examples and applications in topology and algebra are discussed, including an introduction to rational homotopy theory in terms of both differential Lie algebras and De Rham algebras. The author describes powerful tools for homotopy classification problems, particularly for the classification of homotopy types and for the computation of the group homotopy equivalences. Applications and examples of such computations are given, including when the fundamental group is non-trivial. Moreover, the deep connection between the homotopy classification problems and the cohomology theory of small categories is demonstrated. The prerequisites of the book are few: elementary topology and algebra. Consequently, this account will be valuable for non-specialists and experts alike. It is an important supplement to the standard presentations of algebraic topology, homotopy theory, category theory and homological algebra.

Geometry of Curves

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Publisher : CRC Press
ISBN 13 : 1482285673
Total Pages : 381 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Geometry of Curves by : J.W. Rutter

Download or read book Geometry of Curves written by J.W. Rutter and published by CRC Press. This book was released on 2018-10-03 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in the study of geometry is currently enjoying a resurgence-understandably so, as the study of curves was once the playground of some very great mathematicians. However, many of the subject's more exciting aspects require a somewhat advanced mathematics background. For the "fun stuff" to be accessible, we need to offer students an introduction with modest prerequisites, one that stimulates their interest and focuses on problem solving. Integrating parametric, algebraic, and projective curves into a single text, Geometry of Curves offers students a unique approach that provides a mathematical structure for solving problems, not just a catalog of theorems. The author begins with the basics, then takes students on a fascinating journey from conics, higher algebraic and transcendental curves, through the properties of parametric curves, the classification of limaçons, envelopes, and finally to projective curves, their relationship to algebraic curves, and their application to asymptotes and boundedness. The uniqueness of this treatment lies in its integration of the different types of curves, its use of analytic methods, and its generous number of examples, exercises, and illustrations. The result is a practical text, almost entirely self-contained, that not only imparts a deeper understanding of the theory, but inspires a heightened appreciation of geometry and interest in more advanced studies.

Classifying Spaces and Fibrations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821818554
Total Pages : 116 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Classifying Spaces and Fibrations by : J. Peter May

Download or read book Classifying Spaces and Fibrations written by J. Peter May and published by American Mathematical Soc.. This book was released on 1975 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basic theory of fibrations is generalized to a context in which fibres, and maps on fibres, are constrained to lie in any preassigned category of spaces [script capital] F. Then axioms are placed on [script capital] F to allow the development of a theory of associated principal fibrations and, under several choices of additional hypotheses on [script capital] F, a classification theorem is proven for such fibrations.

Rational Homotopy Theory II

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Publisher : World Scientific
ISBN 13 : 9814651451
Total Pages : 448 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Rational Homotopy Theory II by : Yves Félix

Download or read book Rational Homotopy Theory II written by Yves Félix and published by World Scientific. This book was released on 2015-02-11 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph is a detailed account with complete proofs of rational homotopy theory for general non-simply connected spaces, based on the minimal models introduced by Sullivan in his original seminal article. Much of the content consists of new results, including generalizations of known results in the simply connected case. The monograph also includes an expanded version of recently published results about the growth and structure of the rational homotopy groups of finite dimensional CW complexes, and concludes with a number of open questions. This monograph is a sequel to the book Rational Homotopy Theory [RHT], published by Springer in 2001, but is self-contained except only that some results from [RHT] are simply quoted without proof. Contents:Basic Definitions and ConstructionsHomotopy Lie Algebras and Sullivan Lie AlgebrasFibrations and Λ-ExtensionsHolonomyThe Model of the Fibre is the Fibre of the ModelLoop Spaces and Loop Space ActionsSullivan SpacesExamplesLusternik-Schnirelmann CategoryDepth of a Sullivan Algebra and of a Sullivan Lie AlgebraDepth of a Connected Graded Lie Algebra of Finite TypeTrichotomyExponential GrowthStructure of a Graded Lie Algebra of Finite DepthWeight Decompositions of a Sullivan Lie AlgebraProblems Readership: Researchers in algebraic topology and Lie algebra theory.Key Features:Contains the basis for using rational homotopy theory for non-simply connected spacesContains new important information on the rational homotopy Lie algebra of spacesIs at the frontier of the research in rational homotopyKeywords:Rational Homotopy Theory;Algebraic Topology;Malcev Completion;Graded Lie Algebra

Etale Homotopy

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Publisher : Springer
ISBN 13 : 3540361421
Total Pages : 173 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Etale Homotopy by : Michael Artin

Download or read book Etale Homotopy written by Michael Artin and published by Springer. This book was released on 2006-11-14 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Global Differential Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821856246
Total Pages : 492 pages
Book Rating : 4.8/5 (562 download)

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Book Synopsis Global Differential Geometry by : Alfred Gray

Download or read book Global Differential Geometry written by Alfred Gray and published by American Mathematical Soc.. This book was released on 2001 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consists of 15 invited papers and 40 posters presented at the September 2000 conference. Many of the presentations deal with Riemannian manifolds, homogenous spaces, complex structures, symplectic manifolds, the geometry of geodesic spheres and tubes, the geometry of surfaces, and computer graphics in differential geometry. Some example topics are osculating tubes and self-linking for curves on the three-sphere, the Seiberg-Witten equations and almost- Hermitian geometry, complex geometry and representation of Lie groups, isometric immersions without positive Ricci curvature, and Weil algebras of generalized higher order velocities bundles. No index. c. Book News Inc.

Lagrangian Intersection Floer Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821852493
Total Pages : 396 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lagrangian Intersection Floer Theory by : Kenji Fukaya

Download or read book Lagrangian Intersection Floer Theory written by Kenji Fukaya and published by American Mathematical Soc.. This book was released on 2010-06-28 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a two-volume series research monograph on the general Lagrangian Floer theory and on the accompanying homological algebra of filtered $A_\infty$-algebras. This book provides the most important step towards a rigorous foundation of the Fukaya category in general context. In Volume I, general deformation theory of the Floer cohomology is developed in both algebraic and geometric contexts. An essentially self-contained homotopy theory of filtered $A_\infty$ algebras and $A_\infty$ bimodules and applications of their obstruction-deformation theory to the Lagrangian Floer theory are presented. Volume II contains detailed studies of two of the main points of the foundation of the theory: transversality and orientation. The study of transversality is based on the virtual fundamental chain techniques (the theory of Kuranishi structures and their multisections) and chain level intersection theories. A detailed analysis comparing the orientations of the moduli spaces and their fiber products is carried out. A self-contained account of the general theory of Kuranishi structures is also included in the appendix of this volume.

Norms in Motivic Homotopy Theory

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Publisher :
ISBN 13 : 9782856299395
Total Pages : pages
Book Rating : 4.2/5 (993 download)

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Book Synopsis Norms in Motivic Homotopy Theory by : Tom Bachmann

Download or read book Norms in Motivic Homotopy Theory written by Tom Bachmann and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: