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.
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Автор: Crabb Michael, Ranicki Andrew Название: The Geometric Hopf Invariant and Surgery Theory ISBN: 3319890611 ISBN-13(EAN): 9783319890616 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Michael A. Hill , Michael J. Hopkins , Douglas C. Название: Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem ISBN: 1108831443 ISBN-13(EAN): 9781108831444 Издательство: Cambridge Academ Рейтинг: Цена: 21384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Crabb Название: The Geometric Hopf Invariant and Surgery Theory ISBN: 3319713051 ISBN-13(EAN): 9783319713052 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Franjou Vincent Название: Lectures on Functor Homology ISBN: 3319213040 ISBN-13(EAN): 9783319213040 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book features a series of lectures that explores three different fields in which functor homology (short for homological algebra in functor categories) has recently played a significant role.
Автор: Sibe Mardesic Название: Strong Shape and Homology ISBN: 3642085466 ISBN-13(EAN): 9783642085468 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Shape theory, an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces, was introduced by Borsuk 30 years ago and Mardesic contributed greatly to it. One expert says: "If we need a book in the field, this is it! It is thorough, careful and complete."
Автор: Loday, Jean-louis Название: Cyclic homology ISBN: 3642083161 ISBN-13(EAN): 9783642083167 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: From the reviews: "This is a very interesting book containing material for a comprehensive study of the cyclid homological theory of algebras, cyclic sets and S1-spaces. The book requires a knowledge of homological algebra and Lie algebra theory as well as basic technics coming from algebraic topology.
Описание: This book offers a concise introduction to ergodic methods in group homology, with a particular focus on the computation of L2-Betti numbers.Group homology integrates group actions into homological structure.
Автор: P. Giblin Название: Graphs, Surfaces and Homology ISBN: 0412239000 ISBN-13(EAN): 9780412239007 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Many of the results of Chapter 9 do indeed generalize to higher dimensions (and the general machinery of simplicial homology theory is avai1able from earlier chapters) but I have confined myself to one example, namely the theorem that non-orientable closed surfaces do not embed in three-dimensional space.
Автор: Maxim, Laurentiu G. Название: Intersection homology & perverse sheaves ISBN: 3030276430 ISBN-13(EAN): 9783030276430 Издательство: Springer Рейтинг: Цена: 6567.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout.
Описание: This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout.
Автор: Franjou Vincent, Touzй Antoine Название: Lectures on Functor Homology ISBN: 3319793330 ISBN-13(EAN): 9783319793337 Издательство: Springer Рейтинг: Цена: 14031.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book features a series of lectures that explores three different fields in which functor homology (short for homological algebra in functor categories) has recently played a significant role.
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