Algebraic Geometry and Topology

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Publisher : Princeton University Press
ISBN 13 : 1400879914
Total Pages : 410 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Algebraic Geometry and Topology by : Ralph Hartzler Fox

Download or read book Algebraic Geometry and Topology written by Ralph Hartzler Fox and published by Princeton University Press. This book was released on 2015-12-08 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the developments of modern algebraic geometry and topology stem from the ideas of S. Lefschetz. These are featured in this volume of contemporary research papers contributed by mathematical colleagues to celebrate his seventieth birthday. Originally published in 1957. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Algebraic Geometry and Topology

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Publisher :
ISBN 13 : 9780691079073
Total Pages : 399 pages
Book Rating : 4.0/5 (79 download)

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Book Synopsis Algebraic Geometry and Topology by : Solomon Lefschetz

Download or read book Algebraic Geometry and Topology written by Solomon Lefschetz and published by . This book was released on 1957 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the developments of modern algebraic geometry and topology stem from the ideas of S. Lefschetz. These are featured in this volume of contemporary research papers contributed by mathematical colleagues to celebrate his seventieth birthday. Originally published in 1957. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

History Algebraic Geometry

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Publisher : CRC Press
ISBN 13 : 1351440543
Total Pages : 186 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis History Algebraic Geometry by : Suzanne C. Dieudonne

Download or read book History Algebraic Geometry written by Suzanne C. Dieudonne and published by CRC Press. This book was released on 2017-11-22 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains several fundamental ideas that are revived time after time in different guises, providing a better understanding of algebraic geometric phenomena. It shows how the field is enriched with loans from analysis and topology and from commutative algebra and homological algebra.

Algebraic Geometry and Topology

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Publisher :
ISBN 13 : 9781258705398
Total Pages : 408 pages
Book Rating : 4.7/5 (53 download)

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Book Synopsis Algebraic Geometry and Topology by : Ralph Hartzler Fox

Download or read book Algebraic Geometry and Topology written by Ralph Hartzler Fox and published by . This book was released on 2013-05 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Princeton Mathematical Series, No. 12. Additional Editor Is Marston Morse. Contributors Include W. V. D. Hodge, Norman E. Steenrod, S. Lefschetz, And Many Others.

Quandles and Topological Pairs

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Publisher : Springer
ISBN 13 : 9811067937
Total Pages : 138 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Quandles and Topological Pairs by : Takefumi Nosaka

Download or read book Quandles and Topological Pairs written by Takefumi Nosaka and published by Springer. This book was released on 2017-11-20 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys quandle theory, starting from basic motivations and going on to introduce recent developments of quandles with topological applications and related topics. The book is written from topological aspects, but it illustrates how esteemed quandle theory is in mathematics, and it constitutes a crash course for studying quandles.More precisely, this work emphasizes the fresh perspective that quandle theory can be useful for the study of low-dimensional topology (e.g., knot theory) and relative objects with symmetry. The direction of research is summarized as “We shall thoroughly (re)interpret the previous studies of relative symmetry in terms of the quandle”. The perspectives contained herein can be summarized by the following topics. The first is on relative objects G/H, where G and H are groups, e.g., polyhedrons, reflection, and symmetric spaces. Next, central extensions of groups are discussed, e.g., spin structures, K2 groups, and some geometric anomalies. The third topic is a method to study relative information on a 3-dimensional manifold with a boundary, e.g., knot theory, relative cup products, and relative group cohomology.For applications in topology, it is shown that from the perspective that some existing results in topology can be recovered from some quandles, a method is provided to diagrammatically compute some “relative homology”. (Such classes since have been considered to be uncomputable and speculative). Furthermore, the book provides a perspective that unifies some previous studies of quandles.The former part of the book explains motivations for studying quandles and discusses basic properties of quandles. The latter focuses on low-dimensional topology or knot theory. Finally, problems and possibilities for future developments of quandle theory are posed.

Algebraic and Geometric Topology

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Publisher : Springer
ISBN 13 : 3540357580
Total Pages : 254 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Algebraic and Geometric Topology by : Kenneth C. Millett

Download or read book Algebraic and Geometric Topology written by Kenneth C. Millett and published by Springer. This book was released on 2006-11-15 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry, Topology and Physics

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Publisher : Taylor & Francis
ISBN 13 : 1420056948
Total Pages : 596 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Geometry, Topology and Physics by : Mikio Nakahara

Download or read book Geometry, Topology and Physics written by Mikio Nakahara and published by Taylor & Francis. This book was released on 2018-10-03 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields. The second edition of this popular and established text incorporates a number of changes designed to meet the needs of the reader and reflect the development of the subject. The book features a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories. Chapter 2 introduces the mathematical concepts of maps, vector spaces, and topology. The following chapters focus on more elaborate concepts in geometry and topology and discuss the application of these concepts to liquid crystals, superfluid helium, general relativity, and bosonic string theory. Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems. New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics. The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view. Geometry, Topology and Physics, Second Edition is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics.

Categorical Decomposition Techniques in Algebraic Topology

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Publisher : Birkhäuser
ISBN 13 : 303487863X
Total Pages : 304 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Categorical Decomposition Techniques in Algebraic Topology by : Gregory Arone

Download or read book Categorical Decomposition Techniques in Algebraic Topology written by Gregory Arone and published by Birkhäuser. This book was released on 2012-12-06 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists of articles at the frontier of current research in Algebraic Topology. It presents recent results by top notch experts, and is intended primarily for researchers and graduate students working in the field of algebraic topology. Included is an important article by Cohen, Johnes and Yan on the homology of the space of smooth loops on a manifold M, endowed with the Chas-Sullivan intersection product, as well as an article by Goerss, Henn and Mahowald on stable homotopy groups of spheres, which uses the cutting edge technology of "topological modular forms".

Invariant Theory of Finite Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821849816
Total Pages : 384 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Invariant Theory of Finite Groups by : Mara D. Neusel

Download or read book Invariant Theory of Finite Groups written by Mara D. Neusel and published by American Mathematical Soc.. This book was released on 2010-03-08 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The questions that have been at the center of invariant theory since the 19th century have revolved around the following themes: finiteness, computation, and special classes of invariants. This book begins with a survey of many concrete examples chosen from these themes in the algebraic, homological, and combinatorial context. In further chapters, the authors pick one or the other of these questions as a departure point and present the known answers, open problems, and methods and tools needed to obtain these answers. Chapter 2 deals with algebraic finiteness. Chapter 3 deals with combinatorial finiteness. Chapter 4 presents Noetherian finiteness. Chapter 5 addresses homological finiteness. Chapter 6 presents special classes of invariants, which deal with modular invariant theory and its particular problems and features. Chapter 7 collects results for special classes of invariants and coinvariants such as (pseudo) reflection groups and representations of low degree. If the ground field is finite, additional problems appear and are compensated for in part by the emergence of new tools. One of these is the Steenrod algebra, which the authors introduce in Chapter 8 to solve the inverse invariant theory problem, around which the authors have organized the last three chapters. The book contains numerous examples to illustrate the theory, often of more than passing interest, and an appendix on commutative graded algebra, which provides some of the required basic background. There is an extensive reference list to provide the reader with orientation to the vast literature.

Contemporary Trends In Algebraic Geometry And Algebraic Topology

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Publisher : World Scientific
ISBN 13 : 9814488518
Total Pages : 276 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Contemporary Trends In Algebraic Geometry And Algebraic Topology by : Shiing-shen Chern

Download or read book Contemporary Trends In Algebraic Geometry And Algebraic Topology written by Shiing-shen Chern and published by World Scientific. This book was released on 2002-08-02 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Wei-Liang Chow and Kuo-Tsai Chen Memorial Conference was proposed and held by Prof S S Chern in Nankai Institute of Mathematics. It was devoted to memorializing those two outstanding and original Chinese mathematicians who had made significant contributions to algebraic geometry and algebraic topology, respectively. It also provided a forum for leading mathematicians to expound and discuss their views on new ideas in these fields, as well as trends in 21st Century mathematics. About 100 mathematicians participated in the conference, including Sir Michael Atiyah, Jacob Palis, Phillip Griffiths, David Eisenbud, Philippe Tondeur, Yujiro Kawamata, Tian Gang, etc.This invaluable volume contains the selected papers presented at the conference. The topics include canonical maps of Gorenstein 3-folds, fundamental groups of algebraic curves, Chen's interated integrals, algebraic fiber spaces, and others.

Wolf Prize in Mathematics

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Publisher : World Scientific
ISBN 13 : 9789812811769
Total Pages : 944 pages
Book Rating : 4.8/5 (117 download)

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Book Synopsis Wolf Prize in Mathematics by : Shiing-Shen Chern

Download or read book Wolf Prize in Mathematics written by Shiing-Shen Chern and published by World Scientific. This book was released on 2000 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Non-perturbative Methods In Two Dimensional Quantum Field Theory

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Publisher : World Scientific
ISBN 13 : 9814506516
Total Pages : 752 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Non-perturbative Methods In Two Dimensional Quantum Field Theory by : Elcio Abdalla

Download or read book Non-perturbative Methods In Two Dimensional Quantum Field Theory written by Elcio Abdalla and published by World Scientific. This book was released on 1991-08-12 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a survey of methods used in the study of two-dimensional models in quantum field theory as well as applications of these theories in physics. It covers the subject since the first model, studied in the fifties, up to modern developments in string theories, and includes exact solutions, non-perturbative methods of study, and nonlinear sigma models.

Algebraic Geometry And TopologyA Symposium In Honor Of S.Lefschetz

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Publisher : Legare Street Press
ISBN 13 : 9781019961124
Total Pages : 0 pages
Book Rating : 4.9/5 (611 download)

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Book Synopsis Algebraic Geometry And TopologyA Symposium In Honor Of S.Lefschetz by : Rh Fox

Download or read book Algebraic Geometry And TopologyA Symposium In Honor Of S.Lefschetz written by Rh Fox and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative volume offers a comprehensive overview of the field of algebraic geometry and topology, and pays tribute to the great mathematician Solomon Lefschetz. Featuring contributions from leading scholars in the field, this volume covers a range of topics including topology, algebraic geometry, and differential geometry. With rigorous proofs and detailed analysis of complex mathematical concepts, this book is an essential resource for anyone working in the field of mathematics. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Locally Mixed Symmetric Spaces

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Publisher : Springer Nature
ISBN 13 : 3030698041
Total Pages : 622 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Locally Mixed Symmetric Spaces by : Bruce Hunt

Download or read book Locally Mixed Symmetric Spaces written by Bruce Hunt and published by Springer Nature. This book was released on 2021-09-04 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: What do the classification of algebraic surfaces, Weyl's dimension formula and maximal orders in central simple algebras have in common? All are related to a type of manifold called locally mixed symmetric spaces in this book. The presentation emphasizes geometric concepts and relations and gives each reader the "roter Faden", starting from the basics and proceeding towards quite advanced topics which lie at the intersection of differential and algebraic geometry, algebra and topology. Avoiding technicalities and assuming only a working knowledge of real Lie groups, the text provides a wealth of examples of symmetric spaces. The last two chapters deal with one particular case (Kuga fiber spaces) and a generalization (elliptic surfaces), both of which require some knowledge of algebraic geometry. Of interest to topologists, differential or algebraic geometers working in areas related to arithmetic groups, the book also offers an introduction to the ideas for non-experts.

Cycle Spaces of Flag Domains

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Publisher : Springer Science & Business Media
ISBN 13 : 0817644792
Total Pages : 342 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Cycle Spaces of Flag Domains by : Gregor Fels

Download or read book Cycle Spaces of Flag Domains written by Gregor Fels and published by Springer Science & Business Media. This book was released on 2006-07-30 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Driven by numerous examples from the complex geometric viewpoint New results presented for the first time Widely accessible, with all necessary background material provided for the nonspecialist Comparisons with classical Barlet cycle spaces are given Good bibliography and index

Superstring Theory: Volume 2, Loop Amplitudes, Anomalies and Phenomenology

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Publisher : Cambridge University Press
ISBN 13 : 9780521357531
Total Pages : 608 pages
Book Rating : 4.3/5 (575 download)

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Book Synopsis Superstring Theory: Volume 2, Loop Amplitudes, Anomalies and Phenomenology by : Michael B. Green

Download or read book Superstring Theory: Volume 2, Loop Amplitudes, Anomalies and Phenomenology written by Michael B. Green and published by Cambridge University Press. This book was released on 1988-07-29 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: A two-volume systematic exposition of superstring theory and its applications which presents many of the new mathematical tools that theoretical physicists are likely to need in coming years. This volume contains an introduction to superstrings

Complex Algebraic Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 0821811452
Total Pages : 354 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Complex Algebraic Geometry by : János Kollár

Download or read book Complex Algebraic Geometry written by János Kollár and published by American Mathematical Soc.. This book was released on 1997 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lecture notes from the Third Summer Session of the Regional Geometry Institute, held in Park City, Utah, in 1993.