Hypoelliptic Laplacian and Bott–Chern Cohomology, Jean-Michel Bismut

Автор: M. Kolster; G?nter Tamme
Название: Introduction to ?tale Cohomology
ISBN: 3540571167 ISBN-13(EAN): 9783540571162
Издательство: Springer
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Описание: Etale Cohomology is one of the most important methods in modern Algebraic Geometry and Number Theory. It has, in the last decades, brought fundamental new insights in arithmetic and algebraic geometric problems with many applications and many important results. The book gives a short and easy introduction into the world of Abelian Categories, Derived Functors, Grothendieck Topologies, Sheaves, General Etale Cohomology, and Etale Cohomology of Curves.

Автор: S.Lang
Название: Topics in Cohomology of Groups
ISBN: 3540611819 ISBN-13(EAN): 9783540611813
Издательство: Springer
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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: Glen E. Bredon
Название: Equivariant Cohomology Theories
ISBN: 3540039058 ISBN-13(EAN): 9783540039051
Издательство: Springer
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Автор: Alejandro Adem; R. James Milgram
Название: Cohomology of Finite Groups
ISBN: 3642057853 ISBN-13(EAN): 9783642057854
Издательство: Springer
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Описание: Some Historical Background This book deals with the cohomology of groups, particularly finite ones. In number theory, group cohomology arose as a natural device for describing the main theorems of class field theory and, in particular, for describing and analyzing the Brauer group of a field.

Автор: Richard J. Szabo
Название: Equivariant Cohomology and Localization of Path Integrals
ISBN: 3540671269 ISBN-13(EAN): 9783540671268
Издательство: Springer
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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.

Автор: P. Ion; Jean-Pierre Serre
Название: Galois Cohomology
ISBN: 364263866X ISBN-13(EAN): 9783642638664
Издательство: Springer
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Описание: This is an updated English translation of Cohomologie Galoisienne, published more than thirty years ago as one of the very first versions of Lecture Notes in Mathematics. It includes a reproduction of an influential paper by R. Steinberg, together with some new material and an expanded bibliography.

Автор: Jean-Michel Bismut
Название: Hypoelliptic Laplacian and Bott–Chern Cohomology
ISBN: 3319033891 ISBN-13(EAN): 9783319033891
Издательство: Springer
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Цена: 11878.00 р.
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Описание: This book provides the proof of a complex geometric version of a well-known result in algebraic geometry: the theorem of Riemann-Roch-Grothendieck for proper submersions. It gives an equality of cohomology classes in Bott-Chern cohomology.