Branched Standard Spines Of 3 Manifolds

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Branched Standard Spines of 3-manifolds

Author : Riccardo Benedetti
Publisher : Springer
ISBN 13 : 3540683453
Total Pages : 140 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Branched Standard Spines of 3-manifolds by : Riccardo Benedetti

Download or read book Branched Standard Spines of 3-manifolds written by Riccardo Benedetti and published by Springer. This book was released on 2006-11-14 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unified combinatorial realization of the categroies of (closed, oriented) 3-manifolds, combed 3-manifolds, framed 3-manifolds and spin 3-manifolds. In all four cases the objects of the realization are finite enhanced graphs, and only finitely many local moves have to be taken into account. These realizations are based on the notion of branched standard spine, introduced in the book as a combination of the notion of branched surface with that of standard spine. The book is intended for readers interested in low-dimensional topology, and some familiarity with the basics is assumed. A list of questions, some of which concerning relations with the theory of quantum invariants, is enclosed.

Branched Standard Spines Of 3-Manifolds

Author : Riccardo Benedetti
Publisher :
ISBN 13 : 9783662180358
Total Pages : 148 pages
Book Rating : 4.1/5 (83 download)

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Book Synopsis Branched Standard Spines Of 3-Manifolds by : Riccardo Benedetti

Download or read book Branched Standard Spines Of 3-Manifolds written by Riccardo Benedetti and published by . This book was released on 2014-01-15 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:

European Congress of Mathematics

Author : Antal Balog
Publisher : Springer Science & Business Media
ISBN 13 : 9783764354978
Total Pages : 364 pages
Book Rating : 4.3/5 (549 download)

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Book Synopsis European Congress of Mathematics by : Antal Balog

Download or read book European Congress of Mathematics written by Antal Balog and published by Springer Science & Business Media. This book was released on 1998-07-21 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of the procedings of the second European Congress of Mathematics. Volume I presents the speeches delivered at the Congress, the list of lectures, and short summaries of the achievements of the prize winners. Together with volume II it contains a collection of contributions by the invited lecturers. Finally, volume II also presents reports on some of the Round Table discussions. This two-volume set thus gives an overview of the state of the art in many fields of mathematics and is therefore of interest to every professional mathematician. Contributors: Vol. I: N. Alon, L. Ambrosio, K. Astala, R. Benedetti, Ch. Bessenrodt, F. Bethuel, P. Bjørstad, E. Bolthausen, J. Bricmont, A. Kupiainen, D. Burago, L. Caporaso, U. Dierkes, I. Dynnikov, L.H. Eliasson, W.T. Gowers, H. Hedenmalm, A. Huber, J. Kaczorowski, J. Kollár, D.O. Kramkov, A.N. Shiryaev, C. Lescop, R. März. Vol. II: J. Matousek, D. McDuff, A.S. Merkurjev, V. Milman, St. Müller, T. Nowicki, E. Olivieri, E. Scoppola, V.P. Platonov, J. Pöschel, L. Polterovich , L. Pyber, N. Simányi, J.P. Solovej, A. Stipsicz, G. Tardos, J.-P. Tignol, A.P. Veselov, E. Zuazua

Canonical Wick Rotations in 3-Dimensional Gravity

Author : R. Benedetti
Publisher : American Mathematical Soc.
ISBN 13 : 0821842811
Total Pages : 181 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Canonical Wick Rotations in 3-Dimensional Gravity by : R. Benedetti

Download or read book Canonical Wick Rotations in 3-Dimensional Gravity written by R. Benedetti and published by American Mathematical Soc.. This book was released on 2009-03-06 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors develop a canonical Wick rotation-rescaling theory in $3$-dimensional gravity. This includes (a) A simultaneous classification: this shows how maximal globally hyperbolic spacetimes of arbitrary constant curvature, which admit a complete Cauchy surface and canonical cosmological time, as well as complex projective structures on arbitrary surfaces, are all different materializations of ``more fundamental'' encoding structures. (b) Canonical geometric correlations: this shows how spacetimes of different curvature, that share a same encoding structure, are related to each other by canonical rescalings, and how they can be transformed by canonical Wick rotations in hyperbolic $3$-manifolds, that carry the appropriate asymptotic projective structure. Both Wick rotations and rescalings act along the canonical cosmological time and have universal rescaling functions. These correlations are functorial with respect to isomorphisms of the respective geometric categories.

Morse Theory Of Gradient Flows, Concavity And Complexity On Manifolds With Boundary

Author : Katz Gabriel
Publisher : World Scientific
ISBN 13 : 9814719684
Total Pages : 516 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis Morse Theory Of Gradient Flows, Concavity And Complexity On Manifolds With Boundary by : Katz Gabriel

Download or read book Morse Theory Of Gradient Flows, Concavity And Complexity On Manifolds With Boundary written by Katz Gabriel and published by World Scientific. This book was released on 2019-08-21 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is an account of the author's investigations of gradient vector flows on compact manifolds with boundary. Many mathematical structures and constructions in the book fit comfortably in the framework of Morse Theory and, more generally, of the Singularity Theory of smooth maps.The geometric and combinatorial structures, arising from the interactions of vector flows with the boundary of the manifold, are surprisingly rich. This geometric setting leads organically to many encounters with Singularity Theory, Combinatorics, Differential Topology, Differential Geometry, Dynamical Systems, and especially with the boundary value problems for ordinary differential equations. This diversity of connections animates the book and is the main motivation behind it.The book is divided into two parts. The first part describes the flows in three dimensions. It is more pictorial in nature. The second part deals with the multi-dimensional flows, and thus is more analytical. Each of the nine chapters starts with a description of its purpose and main results. This organization provides the reader with independent entrances into different chapters.

Homotopy Quantum Field Theory

Author : Vladimir G. Turaev
Publisher : European Mathematical Society
ISBN 13 : 9783037190869
Total Pages : 300 pages
Book Rating : 4.1/5 (98 download)

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Book Synopsis Homotopy Quantum Field Theory by : Vladimir G. Turaev

Download or read book Homotopy Quantum Field Theory written by Vladimir G. Turaev and published by European Mathematical Society. This book was released on 2010 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Homotopy Quantum Field Theory (HQFT) is a branch of Topological Quantum Field Theory founded by E. Witten and M. Atiyah. It applies ideas from theoretical physics to study principal bundles over manifolds and, more generally, homotopy classes of maps from manifolds to a fixed target space. This book is the first systematic exposition of Homotopy Quantum Field Theory. It starts with a formal definition of an HQFT and provides examples of HQFTs in all dimensions. The main body of the text is focused on $2$-dimensional and $3$-dimensional HQFTs. A study of these HQFTs leads to new algebraic objects: crossed Frobenius group-algebras, crossed ribbon group-categories, and Hopf group-coalgebras. These notions and their connections with HQFTs are discussed in detail. The text ends with several appendices including an outline of recent developments and a list of open problems. Three appendices by M. Muger and A. Virelizier summarize their work in this area. The book is addressed to mathematicians, theoretical physicists, and graduate students interested in topological aspects of quantum field theory. The exposition is self-contained and well suited for a one-semester graduate course. Prerequisites include only basics of algebra and topology.

Geometric topology

Author : William Hilal Kazez
Publisher : American Mathematical Soc.
ISBN 13 : 9780821806531
Total Pages : 500 pages
Book Rating : 4.8/5 (65 download)

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Book Synopsis Geometric topology by : William Hilal Kazez

Download or read book Geometric topology written by William Hilal Kazez and published by American Mathematical Soc.. This book was released on 1997 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the proceedings of the 1993 Georgia International Topology Conference held at the University of Georgia during the month of August. This work includes Kirby's problem list, which contains a description of the progress made on each of the problems and includes a bibliography. It is suitable for those interested in the many areas of topology.

Integral Geometry, Radon Transforms and Complex Analysis

Author : Carlos A. Berenstein
Publisher : Springer Science & Business Media
ISBN 13 : 9783540642077
Total Pages : 178 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Integral Geometry, Radon Transforms and Complex Analysis by : Carlos A. Berenstein

Download or read book Integral Geometry, Radon Transforms and Complex Analysis written by Carlos A. Berenstein and published by Springer Science & Business Media. This book was released on 1998-04-16 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the notes of five short courses delivered at the "Centro Internazionale Matematico Estivo" session "Integral Geometry, Radon Transforms and Complex Analysis" held in Venice (Italy) in June 1996: three of them deal with various aspects of integral geometry, with a common emphasis on several kinds of Radon transforms, their properties and applications, the other two share a stress on CR manifolds and related problems. All lectures are accessible to a wide audience, and provide self-contained introductions and short surveys on the subjects, as well as detailed expositions of selected results.

Approximation of Free-Discontinuity Problems

Author : Andrea Braides
Publisher : Springer Science & Business Media
ISBN 13 : 9783540647713
Total Pages : 176 pages
Book Rating : 4.6/5 (477 download)

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Book Synopsis Approximation of Free-Discontinuity Problems by : Andrea Braides

Download or read book Approximation of Free-Discontinuity Problems written by Andrea Braides and published by Springer Science & Business Media. This book was released on 1998-09-17 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to tackle numerical and dynamical problems linked to such functionals many approximations by functionals defined on smooth functions have been proposed (using high-order singular perturbations, finite-difference or non-local energies, etc.) The purpose of this book is to present a global approach to these approximations using the theory of gamma-convergence and of special functions of bounded variation. The book is directed to PhD students and researchers in calculus of variations, interested in approximation problems with possible applications.

Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms

Author : Michel Courtieu
Publisher : Springer Science & Business Media
ISBN 13 : 9783540407294
Total Pages : 212 pages
Book Rating : 4.4/5 (72 download)

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Book Synopsis Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms by : Michel Courtieu

Download or read book Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms written by Michel Courtieu and published by Springer Science & Business Media. This book was released on with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Problems in Semiconductor Physics

Author : Angelo Marcello Anile
Publisher : Springer Science & Business Media
ISBN 13 : 9783540408024
Total Pages : 164 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Mathematical Problems in Semiconductor Physics by : Angelo Marcello Anile

Download or read book Mathematical Problems in Semiconductor Physics written by Angelo Marcello Anile and published by Springer Science & Business Media. This book was released on 2003-09-16 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the the mathematical aspects of the theory of carrier transport in semiconductor devices. The subjects covered include hydrodynamical models for semiconductors based on the maximum entropy principle of extended thermodynamics, mathematical theory of drift-diffusion equations with applications, and the methods of asymptotic analysis.

Projective Modules and Complete Intersections

Author : Satya Mandal
Publisher : Springer Science & Business Media
ISBN 13 : 9783540635642
Total Pages : 132 pages
Book Rating : 4.6/5 (356 download)

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Book Synopsis Projective Modules and Complete Intersections by : Satya Mandal

Download or read book Projective Modules and Complete Intersections written by Satya Mandal and published by Springer Science & Business Media. This book was released on 1997-10-10 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these notes on "Projective Modules and Complete Intersections" an account on the recent developments in research on this subject is presented. The author's preference for the technique of Patching isotopic isomorphisms due to Quillen, formalized by Plumsted, over the techniques of elementary matrices is evident here. The treatment of Basic Element theory here incorporates Plumstead's idea of the "generalized dimension functions". These notes are highly selfcontained and should be accessible to any graduate student in commutative algebra or algebraic geometry. They include fully self-contained presentations of the theorems of Ferrand-Szpiro, Cowsik-Nori and the techniques of Lindel.

Multiscale Problems and Methods in Numerical Simulations

Author : James H. Bramble
Publisher : Springer Science & Business Media
ISBN 13 : 9783540200994
Total Pages : 184 pages
Book Rating : 4.2/5 (9 download)

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Book Synopsis Multiscale Problems and Methods in Numerical Simulations by : James H. Bramble

Download or read book Multiscale Problems and Methods in Numerical Simulations written by James H. Bramble and published by Springer Science & Business Media. This book was released on 2003-10-22 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume aims to disseminate a number of new ideas that have emerged in the last few years in the field of numerical simulation, all bearing the common denominator of the "multiscale" or "multilevel" paradigm. This covers the presence of multiple relevant "scales" in a physical phenomenon; the detection and representation of "structures", localized in space or in frequency, in the solution of a mathematical model; the decomposition of a function into "details" that can be organized and accessed in decreasing order of importance; and the iterative solution of systems of linear algebraic equations using "multilevel" decompositions of finite dimensional spaces.

Differentiability of Six Operators on Nonsmooth Functions and P-Variation

Author : R. M. Dudley
Publisher : Springer Science & Business
ISBN 13 : 9783540659754
Total Pages : 300 pages
Book Rating : 4.6/5 (597 download)

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Book Synopsis Differentiability of Six Operators on Nonsmooth Functions and P-Variation by : R. M. Dudley

Download or read book Differentiability of Six Operators on Nonsmooth Functions and P-Variation written by R. M. Dudley and published by Springer Science & Business. This book was released on 1999-06-21 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg), multiplication and convolution of two functions, both varying, and the product integral and inverse operators for one function. The operators are differentiable with respect to p-variation norms with optimal remainder bounds. Thus the functions as arguments of the operators can be nonsmooth, possibly discontinuous, but four of the six operators turn out to be analytic (holomorphic) for some p-variation norms. The reader will need to know basic real analysis, including Riemann and Lebesgue integration. The book is intended for analysts, statisticians and probabilists. Analysts and statisticians have each studied the differentiability of some of the operators from different viewpoints, and this volume seeks to unify and expand their results.

Elliptic Genera and Vertex Operator Super-Algebras

Author : Hirotaka Tamanoi
Publisher : Springer Science & Business Media
ISBN 13 : 9783540660064
Total Pages : 404 pages
Book Rating : 4.6/5 (6 download)

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Book Synopsis Elliptic Genera and Vertex Operator Super-Algebras by : Hirotaka Tamanoi

Download or read book Elliptic Genera and Vertex Operator Super-Algebras written by Hirotaka Tamanoi and published by Springer Science & Business Media. This book was released on 1999-06-21 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with two aspects of the theory of elliptic genus: its topological aspect involving elliptic functions, and its representation theoretic aspect involving vertex operator super-algebras. For the second aspect, elliptic genera are shown to have the structure of modules over certain vertex operator super-algebras. The vertex operators corresponding to parallel tensor fields on closed Riemannian Spin Kähler manifolds such as Riemannian tensors and Kähler forms are shown to give rise to Virasoro algebras and affine Lie algebras. This monograph is chiefly intended for topologists and it includes accounts on topics outside of topology such as vertex operator algebras.

Matrix Inequalities

Author : Xingzhi Zhan
Publisher : Springer
ISBN 13 : 3540454217
Total Pages : 124 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Matrix Inequalities by : Xingzhi Zhan

Download or read book Matrix Inequalities written by Xingzhi Zhan and published by Springer. This book was released on 2004-10-20 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this monograph is to report on recent developments in the field of matrix inequalities, with emphasis on useful techniques and ingenious ideas. Among other results this book contains the affirmative solutions of eight conjectures. Many theorems unify or sharpen previous inequalities. The author's aim is to streamline the ideas in the literature. The book can be read by research workers, graduate students and advanced undergraduates.

The Cauchy Problem for Higher Order Abstract Differential Equations

Author : Ti-Jun Xiao
Publisher : Springer
ISBN 13 : 3540494790
Total Pages : 314 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis The Cauchy Problem for Higher Order Abstract Differential Equations by : Ti-Jun Xiao

Download or read book The Cauchy Problem for Higher Order Abstract Differential Equations written by Ti-Jun Xiao and published by Springer. This book was released on 2013-12-11 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to present the basic theory and some recent de velopments concerning the Cauchy problem for higher order abstract differential equations u(n)(t) + ~ AiU(i)(t) = 0, t ~ 0, { U(k)(O) = Uk, 0 ~ k ~ n-l. where AQ, Ab . . . , A - are linear operators in a topological vector space E. n 1 Many problems in nature can be modeled as (ACP ). For example, many n initial value or initial-boundary value problems for partial differential equations, stemmed from mechanics, physics, engineering, control theory, etc. , can be trans lated into this form by regarding the partial differential operators in the space variables as operators Ai (0 ~ i ~ n - 1) in some function space E and letting the boundary conditions (if any) be absorbed into the definition of the space E or of the domain of Ai (this idea of treating initial value or initial-boundary value problems was discovered independently by E. Hille and K. Yosida in the forties). The theory of (ACP ) is closely connected with many other branches of n mathematics. Therefore, the study of (ACPn) is important for both theoretical investigations and practical applications. Over the past half a century, (ACP ) has been studied extensively.