Relative Nonhomogeneous Koszul Duality is popular PDF and ePub book, written by Leonid Positselski in 2022-02-10, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Relative Nonhomogeneous Koszul Duality can be Read Online from any device for your convenience.
Relative Nonhomogeneous Koszul Duality Book PDF Summary
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 time in 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.
Detail Book of Relative Nonhomogeneous Koszul Duality PDF
- Author : Leonid Positselski
- Release : 10 February 2022
- Publisher : Springer Nature
- ISBN : 9783030895402
- Genre : Mathematics
- Total Page : 303 pages
- Language : English
- PDF File Size : 11,9 Mb
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