Derived Functors And Sheaf Cohomology, Bruzzo Ugo, Otero Beatriz Grana

Автор: Kenneth S. Brown
Название: Cohomology of Groups: 87
ISBN: 0387906886 ISBN-13(EAN): 9780387906881
Издательство: Springer
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Цена: 9362.00 р.
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Описание: Suitable for second year graduate students, this text introduces cohomology theory (involving interplay between algebra and topology) with a minimum of prerequisites. It features basics of the subject, as well as exercises that are given prior to discussion of more specialized topics.

Автор: Philippe Gille, Tamas Szamuely
Название: Central Simple Algebras and Galois Cohomology
ISBN: 1107156378 ISBN-13(EAN): 9781107156371
Издательство: Cambridge Academ
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Описание: The first comprehensive, modern introduction to a central field in modern algebra with connections to algebraic geometry, K-theory, and number theory. It proceeds from the basics to more advanced results, including the Merkurjev-Suslin theorem. It is ideal as a text for a graduate course and as a reference for researchers.

Автор: S.Lang
Название: Topics in Cohomology of Groups
ISBN: 3540611819 ISBN-13(EAN): 9783540611813
Издательство: Springer
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Цена: 6282.00 р.
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Описание: The book is a mostly translated reprint of a report on cohomology of groups from the 1950s and 1960s, originally written as background for the Artin-Tate notes on class field theory, following the cohomological approach. This report was first published (in French) by Benjamin. For this new English edition, the author added Tate's local duality, written up from letters which John Tate sent to Lang in 1958 - 1959. Except for this last item, which requires more substantial background in algebraic geometry and especially abelian varieties, the rest of the book is basically elementary, depending only on standard homological algebra at the level of first year graduate students.

Автор: Gille, Philippe Szamuely, Tamas
Название: Central simple algebras and galois cohomology
ISBN: 131660988X ISBN-13(EAN): 9781316609880
Издательство: Cambridge Academ
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Цена: 7128.00 р.
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Описание: The first comprehensive, modern introduction to a central field in modern algebra with connections to algebraic geometry, K-theory, and number theory. It proceeds from the basics to more advanced results, including the Merkurjev-Suslin theorem. It is ideal as a text for a graduate course and as a reference for researchers.

Автор: Dale Husem?ller; S. Echterhoff; B. Kr?tz; Michael
Название: Basic Bundle Theory and K-Cohomology Invariants
ISBN: 3540749551 ISBN-13(EAN): 9783540749554
Издательство: Springer
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Цена: 11179.00 р.
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Описание: Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object.

Автор: Totaro
Название: Group Cohomology and Algebraic Cycles
ISBN: 1107015774 ISBN-13(EAN): 9781107015777
Издательство: Cambridge Academ
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Цена: 18216.00 р.
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Описание: Group cohomology reveals a deep relation between algebra and topology, and its recent applications have provided important insights into the Hodge conjecture and algebraic geometry more broadly. This book presents a coherent suite of computational tools for the study of group cohomology and algebraic cycles.

Автор: Tu Loring W.
Название: Introductory Lectures on Equivariant Cohomology: (ams-204)
ISBN: 0691191743 ISBN-13(EAN): 9780691191744
Издательство: Wiley
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Цена: 25819.00 р.
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Описание:

This book gives a clear introductory account of equivariant cohomology, a central topic in algebraic topology. Equivariant cohomology is concerned with the algebraic topology of spaces with a group action, or in other words, with symmetries of spaces. First defined in the 1950s, it has been introduced into K-theory and algebraic geometry, but it is in algebraic topology that the concepts are the most transparent and the proofs are the simplest. One of the most useful applications of equivariant cohomology is the equivariant localization theorem of Atiyah-Bott and Berline-Vergne, which converts the integral of an equivariant differential form into a finite sum over the fixed point set of the group action, providing a powerful tool for computing integrals over a manifold. Because integrals and symmetries are ubiquitous, equivariant cohomology has found applications in diverse areas of mathematics and physics.

Assuming readers have taken one semester of manifold theory and a year of algebraic topology, Loring Tu begins with the topological construction of equivariant cohomology, then develops the theory for smooth manifolds with the aid of differential forms. To keep the exposition simple, the equivariant localization theorem is proven only for a circle action. An appendix gives a proof of the equivariant de Rham theorem, demonstrating that equivariant cohomology can be computed using equivariant differential forms. Examples and calculations illustrate new concepts. Exercises include hints or solutions, making this book suitable for self-study.

Автор: Wedhorn
Название: Manifolds, Sheaves, and Cohomology
ISBN: 3658106328 ISBN-13(EAN): 9783658106324
Издательство: Springer
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Цена: 9781.00 р.
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Описание: This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model.