Two Kinds of Derived Categories, Koszul Duality, and Comodule-Contramodule Correspondence - Memoirs of the American Mathematical Society (Paperback)
  • Two Kinds of Derived Categories, Koszul Duality, and Comodule-Contramodule Correspondence - Memoirs of the American Mathematical Society (Paperback)
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Two Kinds of Derived Categories, Koszul Duality, and Comodule-Contramodule Correspondence - Memoirs of the American Mathematical Society (Paperback)

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Paperback 133 Pages / Published: 30/06/2011
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The aim of this paper is to construct the derived nonhomogeneous Koszul duality. The author considers the derived categories of DG-modules, DG-comodules, and DG-contramodules, the coderived and contraderived categories of CDG-modules, the coderived category of CDG-comodules, and the contraderived category of CDG-contramodules. The equivalence between the latter two categories (the comodule-contramodule correspondence) is established. Nonhomogeneous Koszul duality or "triality" (an equivalence between exotic derived categories corresponding to Koszul dual ©DG-algebra and CDG-coalgebra) is obtained in the conilpotent and nonconilpotent versions. Various A-infinity structures are considered, and a number of model category structures are described. Homogeneous Koszul duality and D-$\Omega$ duality are discussed in the appendices.

Publisher: American Mathematical Society
ISBN: 9780821852965
Number of pages: 133
Weight: 456 g
Dimensions: 254 x 178 mm

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