Téléchargez le livre : Relative Nonhomogeneous Koszul Duality

Relative Nonhomogeneous Koszul Duality

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Éditeur :

Birkhäuser


Collection :

Frontiers in Mathematics

Paru le : 2022-02-10

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Description

This research monograph develops the theory of relative nonhomogeneous Koszul duality. Koszul duality is a fundamental phenomenon in homological algebra and related areas of mathematics, such as algebraic topology, algebraic geometry, and representation theory. Koszul duality is a popular subject of contemporary research.
This book, written by one of the world's leading experts in the area, includes the homogeneous and nonhomogeneous quadratic duality theory over a nonsemisimple, noncommutative base ring, the Poincare–Birkhoff–Witt theorem generalized to this context, and triangulated equivalences between suitable exotic derived categories of modules, curved DG comodules, and curved DG contramodules. The thematic example, meaning the classical duality between the ring of differential operators and the de Rham DG algebra of differential forms, involves some of the most important objects of study in the contemporary algebraic and differential geometry. For the first timein the history of Koszul duality the derived D-\Omega duality is included into a general framework. Examples highly relevant for algebraic and differential geometry are discussed in detail.
Pages
278 pages
Collection
Frontiers in Mathematics
Parution
2022-02-10
Marque
Birkhäuser
EAN papier
9783030895396
EAN PDF
9783030895402
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
27
Taille du fichier
4311 Ko
Prix
58,01 €
EAN EPUB
9783030895402
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
27
Taille du fichier
15903 Ko
Prix
58,01 €

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