Current Trends in Algebraic Topology

Current Trends in Algebraic Topology
Author: Richard M. Kane
Publisher: American Mathematical Soc.
Total Pages: 542
Release: 1982-01-01
Genre: Mathematics
ISBN: 9780821860038

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Proceedings of a Conference held at the University of Western Ontario in 1981. More than one hundred papers were presented by researchers from a wide spectrum of countries and institutions.

Recent Developments in Algebraic Topology

Recent Developments in Algebraic Topology
Author: Samuel Gitler
Publisher: American Mathematical Soc.
Total Pages: 210
Release: 2006
Genre: Mathematics
ISBN: 0821836765

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This book is an excellent illustration of the versatility of Algebraic Topology interacting with other areas in Mathematics and Physics. Topics discussed in this volume range from classical Differential Topology and Homotopy Theory (Kervaire invariant one problem) to more recent lines of research such as Topological Quantum Field Theory (string theory). Likewise, alternative viewpoints on classical problems in Global Analysis and Dynamical Systems are developed (a spectral sequence approach to normal form theory). This collection of papers is based on talks at the conference on the occasion of Sam Gitler's 70th birthday (December, 2003). The variety of topics covered in this book reflects the many areas where Sam Gitler's contributions have had an impact.

Algebraic Topology

Algebraic Topology
Author: C. R. F. Maunder
Publisher: Courier Corporation
Total Pages: 414
Release: 1996-01-01
Genre: Mathematics
ISBN: 9780486691312

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Based on lectures to advanced undergraduate and first-year graduate students, this is a thorough, sophisticated, and modern treatment of elementary algebraic topology, essentially from a homotopy theoretic viewpoint. Author C.R.F. Maunder provides examples and exercises; and notes and references at the end of each chapter trace the historical development of the subject.

Current Developments in Algebraic Geometry

Current Developments in Algebraic Geometry
Author: Lucia Caporaso
Publisher: Cambridge University Press
Total Pages: 437
Release: 2012-03-19
Genre: Mathematics
ISBN: 052176825X

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This volume, based on a workshop by the MSRI, offers an overview of the state of the art in many areas of algebraic geometry.

A Concise Course in Algebraic Topology

A Concise Course in Algebraic Topology
Author: J. P. May
Publisher: University of Chicago Press
Total Pages: 262
Release: 1999-09
Genre: Mathematics
ISBN: 9780226511832

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Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.

Algebraic Topology

Algebraic Topology
Author: Allen Hatcher
Publisher: Cambridge University Press
Total Pages: 572
Release: 2002
Genre: Mathematics
ISBN: 9780521795401

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An introductory textbook suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises.

Algebraic Topology and Related Topics

Algebraic Topology and Related Topics
Author: Mahender Singh
Publisher: Springer
Total Pages: 313
Release: 2019-02-02
Genre: Mathematics
ISBN: 9811357420

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This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory. It consists of well-written original research papers and survey articles by subject experts, most of which were presented at the “7th East Asian Conference on Algebraic Topology” held at the Indian Institute of Science Education and Research (IISER), Mohali, Punjab, India, from December 1 to 6, 2017. Algebraic topology is a broad area of mathematics that has seen enormous developments over the past decade, and as such this book is a valuable resource for graduate students and researchers working in the field.

A History of Algebraic and Differential Topology, 1900 - 1960

A History of Algebraic and Differential Topology, 1900 - 1960
Author: Jean Dieudonné
Publisher: Springer Science & Business Media
Total Pages: 666
Release: 2009-09-01
Genre: Mathematics
ISBN: 0817649077

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This book is a well-informed and detailed analysis of the problems and development of algebraic topology, from Poincaré and Brouwer to Serre, Adams, and Thom. The author has examined each significant paper along this route and describes the steps and strategy of its proofs and its relation to other work. Previously, the history of the many technical developments of 20th-century mathematics had seemed to present insuperable obstacles to scholarship. This book demonstrates in the case of topology how these obstacles can be overcome, with enlightening results.... Within its chosen boundaries the coverage of this book is superb. Read it! —MathSciNet

Contemporary Trends in Algebraic Geometry and Algebraic Topology

Contemporary Trends in Algebraic Geometry and Algebraic Topology
Author: Shiing-Shen Chern
Publisher: World Scientific
Total Pages: 276
Release: 2002
Genre: Mathematics
ISBN: 9810249543

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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.