Algebraic Topology: Oaxtepec 1991
Algebraic Topology: Oaxtepec 1991

Author: Martin C. Tangora

Publisher: American Mathematical Soc.

Published: 1993

Total Pages: 504

ISBN-13: 0821851624

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This book consists of twenty-nine articles contributed by participants of the International Conference in Algebraic Topology held in July 1991 in Mexico. In addition to papers on current research, there are several surveys and expositions on the work of Mark Mahowald, whose sixtieth birthday was celebrated during the conference. The conference was truly international, with over 130 mathematicians from fifteen countries. It ended with a spectacular total eclipse of the sun, a photograph of which appears as the frontispiece. The papers range over much of algebraic topology and cross over into related areas, such as K theory, representation theory, and Lie groups. Also included is a chart of the Adams spectral sequence and a bibliography of Mahowald's publications.

Algebraic Topology: New Trends in Localization and Periodicity
Algebraic Topology: New Trends in Localization and Periodicity

Author: Carles Broto

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 405

ISBN-13: 3034890184

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Central to this collection of papers are new developments in the general theory of localization of spaces. This field has undergone tremendous change of late and is yielding new insight into the mysteries of classical homotopy theory. The present volume comprises the refereed articles submitted at the Conference on Algebraic Topology held in Sant Feliu de Guíxols, Spain, in June 1994. Several comprehensive articles on general localization clarify the basic tools and give a report on the state of the art in the subject matter. The text is therefore accessible not only to the professional mathematician but also to the advanced student.

Lectures On Algebraic Topology
Lectures On Algebraic Topology

Author: Haynes R Miller

Publisher: World Scientific

Published: 2021-09-20

Total Pages: 405

ISBN-13: 9811231265

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Algebraic Topology and basic homotopy theory form a fundamental building block for much of modern mathematics. These lecture notes represent a culmination of many years of leading a two-semester course in this subject at MIT. The style is engaging and student-friendly, but precise. Every lecture is accompanied by exercises. It begins slowly in order to gather up students with a variety of backgrounds, but gains pace as the course progresses, and by the end the student has a command of all the basic techniques of classical homotopy theory.

Recent Developments in Algebraic Topology
Recent Developments in Algebraic Topology

Author: Samuel Gitler

Publisher: American Mathematical Soc.

Published: 2006

Total Pages: 210

ISBN-13: 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 and Related Topics
Algebraic Topology and Related Topics

Author: Mahender Singh

Publisher: Springer

Published: 2019-02-02

Total Pages: 318

ISBN-13: 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.

Equivariant Topology and Derived Algebra
Equivariant Topology and Derived Algebra

Author: Scott Balchin

Publisher: Cambridge University Press

Published: 2021-11-18

Total Pages: 357

ISBN-13: 1108931944

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A collection of research papers, both new and expository, based on the interests of Professor J. P. C. Greenlees.

Polynomials and the mod 2 Steenrod Algebra
Polynomials and the mod 2 Steenrod Algebra

Author: Grant Walker (Mathematician)

Publisher: Cambridge University Press

Published: 2018

Total Pages: 381

ISBN-13: 1108414451

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This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's 'hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n,F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.

Polynomials and the mod 2 Steenrod Algebra
Polynomials and the mod 2 Steenrod Algebra

Author: Grant Walker

Publisher: Cambridge University Press

Published: 2018

Total Pages: 371

ISBN-13: 1108414486

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The first of two volumes covering the Steenrod algebra and its various applications. Suitable as a graduate text.

Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of GL (n,F2)
Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of GL (n,F2)

Author: Grant Walker

Publisher: Cambridge University Press

Published: 2017-11-09

Total Pages: 381

ISBN-13: 1108355927

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This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's `hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n, F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.

Geometry, Spectral Theory, Groups, and Dynamics
Geometry, Spectral Theory, Groups, and Dynamics

Author: Robert Brooks

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 298

ISBN-13: 0821837109

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This volume contains articles based on talks given at the Robert Brooks Memorial Conference on Geometry and Spectral Theory and the Workshop on Groups, Geometry and Dynamics held at Technion - the Israel Institute of Technology (Haifa). Robert Brooks' (1952 - 2002) broad range of mathematical interests is represented in the volume, which is devoted to various aspects of global analysis, spectral theory, the theory of Riemann surfaces, Riemannian and discrete geometry, and numbertheory. A survey of Brooks' work has been written by his close colleague, Peter Buser. Also included in the volume are articles on analytic topics, such as Szego's theorem, and on geometric topics, such as isoperimetric inequalities and symmetries of manifolds. The book is suitable for graduate studentsand researchers interested in various aspects of geometry and global analysis.