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Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem, Michael A. Hill , Michael J. Hopkins , Douglas C.


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Автор: Michael A. Hill , Michael J. Hopkins , Douglas C.
Название:  Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem
ISBN: 9781108831444
Издательство: Cambridge Academ
Классификация:
ISBN-10: 1108831443
Обложка/Формат: Hardback
Страницы: 888
Вес: 1.59 кг.
Дата издания: 29.07.2021
Серия: New mathematical monographs
Язык: English
Издание: New ed
Иллюстрации: Worked examples or exercises; worked examples or exercises
Размер: 229 x 152 x 21
Читательская аудитория: Professional and scholarly
Ключевые слова: Algebraic topology,Mathematics, MATHEMATICS / Topology
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание: This is the definitive account of the resolution of the Kervaire invariant problem, a major milestone in algebraic topology. It develops all the machinery that is needed for the proof, and details many explicit constructions and computations performed along the way, making it suitable for graduate students as well as experts in homotopy theory.


Equivariant Cohomology and Localization of Path Integrals

Автор: Richard J. Szabo
Название: Equivariant Cohomology and Localization of Path Integrals
ISBN: 3662142848 ISBN-13(EAN): 9783662142844
Издательство: Springer
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Цена: 13060.00 р.
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Описание: This book, addressing both researchers and graduate students, reviews equivariant localization techniques for the evaluation of Feynman path integrals. The author gives the relevant mathematical background in some detail, showing at the same time how localization ideas are related to classical integrability.

Equivariant Cohomology and Localization of Path Integrals

Автор: Richard J. Szabo
Название: Equivariant Cohomology and Localization of Path Integrals
ISBN: 3540671269 ISBN-13(EAN): 9783540671268
Издательство: Springer
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Цена: 18284.00 р.
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Описание: This book, addressing both researchers and graduate students, reviews equivariant localization techniques for the evaluation of Feynman path integrals. The author gives the relevant mathematical background in some detail, showing at the same time how localization ideas are related to classical integrability.

The Geometric Hopf Invariant and Surgery Theory

Автор: Crabb
Название: The Geometric Hopf Invariant and Surgery Theory
ISBN: 3319713051 ISBN-13(EAN): 9783319713052
Издательство: Springer
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Цена: 19564.00 р.
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Описание: Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higher-dimensional manifolds. Presenting classical ideas in a modern framework, the authors carefully highlight how their results relate to (and generalize) existing results in the literature.

Categorical Homotopy Theory

Автор: Riehl
Название: Categorical Homotopy Theory
ISBN: 1107048451 ISBN-13(EAN): 9781107048454
Издательство: Cambridge Academ
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Цена: 13622.00 р.
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Описание: This categorical perspective on homotopy theory helps consolidate and simplify one`s understanding of derived functors, homotopy limits and colimits, and model categories, among others.

Equivariant Ordinary Homology and Cohomology

Автор: Steven R. Costenoble; Stefan Waner
Название: Equivariant Ordinary Homology and Cohomology
ISBN: 3319504479 ISBN-13(EAN): 9783319504476
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Filling a gap in the literature, this book takes the reader to the frontiers of equivariant topology, the study of objects with specified symmetries. Aimed at advanced graduate students and researchers in algebraic topology and related fields, the book assumes knowledge of basic algebraic topology and group actions.

Equivariant Cohomology Theories

Автор: Glen E. Bredon
Название: Equivariant Cohomology Theories
ISBN: 3540039058 ISBN-13(EAN): 9783540039051
Издательство: Springer
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Цена: 3487.00 р.
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The Homotopy theory of (?,1)-categories

Автор: Bergner, Julia E. (university Of Virginia)
Название: The Homotopy theory of (?,1)-categories
ISBN: 110749902X ISBN-13(EAN): 9781107499027
Издательство: Cambridge Academ
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Цена: 6019.00 р.
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Описание: Homotopical or ( ,1)-categories have become a significant framework in many areas of mathematics. This book gives an introduction to the different approaches to these structures and the comparisons between them from the perspective of homotopy theory.

Casson`s Invariant for Oriented Homology Three-Spheres: An Exposition. (Mn-36)

Автор: Akbulut Selman, McCarthy John D.
Название: Casson`s Invariant for Oriented Homology Three-Spheres: An Exposition. (Mn-36)
ISBN: 0691636087 ISBN-13(EAN): 9780691636085
Издательство: Wiley
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Цена: 15466.00 р.
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Описание: In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invariant generalizes the Rohlin invariant and gives surprising corollaries in low-dimensional topology. In the fall of that same year, Selman Akbulut and John McCarthy held a seminar on this invariant. These no

The Geometric Hopf Invariant and Surgery Theory

Автор: Crabb Michael, Ranicki Andrew
Название: The Geometric Hopf Invariant and Surgery Theory
ISBN: 3319890611 ISBN-13(EAN): 9783319890616
Издательство: Springer
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Цена: 19564.00 р.
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Описание: Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higher-dimensional manifolds. Presenting classical ideas in a modern framework, the authors carefully highlight how their results relate to (and generalize) existing results in the literature.

Casson`s Invariant for Oriented Homology Three-Spheres: An Exposition. (MN-36)

Автор: Akbulut Selman, McCarthy John D.
Название: Casson`s Invariant for Oriented Homology Three-Spheres: An Exposition. (MN-36)
ISBN: 0691607516 ISBN-13(EAN): 9780691607511
Издательство: Wiley
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Цена: 4752.00 р.
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Описание:

In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invariant generalizes the Rohlin invariant and gives surprising corollaries in low-dimensional topology. In the fall of that same year, Selman Akbulut and John McCarthy held a seminar on this invariant. These notes grew out of that seminar. The authors have tried to remain close to Casson's original outline and proceed by giving needed details, including an exposition of Newstead's results. They have often chosen classical concrete approaches over general methods. For example, they did not attempt to give gauge theory explanations for the results of Newstead; instead they followed his original techniques.

Originally published in 1990.

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.

Rational Homotopy Theory and Differential Forms

Автор: Phillip Griffiths; John Morgan
Название: Rational Homotopy Theory and Differential Forms
ISBN: 1493936999 ISBN-13(EAN): 9781493936991
Издательство: Springer
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Цена: 19564.00 р.
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Описание:

This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham's theorem on simplicial complexes. In addition, Sullivan's results on computing the rational homotopy type from forms is presented.

New to the Second Edition:

*Fully-revised appendices including an expanded discussion of the Hirsch lemma

*Presentation of a natural proof of a Serre spectral sequence result

*Updated content throughout the book, reflecting advances in the area of homotopy theory

With its modern approach and timely revisions, this second edition of Rational Homotopy Theory and Differential Forms will be a valuable resource for graduate students and researchers in algebraic topology, differential forms, and homotopy theory.

Local Homotopy Theory

Автор: John F. Jardine
Название: Local Homotopy Theory
ISBN: 1493940449 ISBN-13(EAN): 9781493940448
Издательство: Springer
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Цена: 13275.00 р.
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Описание:

Preface.- 1 Introduction.- Part I Preliminaries.- 2 Homotopy theory of simplicial sets.- 3 Some topos theory.- Part II Simplicial presheaves and simplicial sheaves.- 4 Local weak equivalences.- 5 Local model structures.- 6 Cocycles.- 7 Localization theories.- Part III Sheaf cohomology theory.- 8 Homology sheaves and cohomology groups.- 9 Non-abelian cohomology.- Part IV Stable homotopy theory.- 10 Spectra and T-spectra.- 11 Symmetric T-spectra.- References.- Index.


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