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Positselski, Leonid, 1973-

Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence / [electronic resource] Leonid Positselski. - Providence, R.I. : American Mathematical Society, 2011. - 1 online resource (v, 133 p.) - Memoirs of the American Mathematical Society, v. 996 0065-9266 (print); 1947-6221 (online); . - Memoirs of the American Mathematical Society ; no. 996. .

"July 2011, volume 212, number 996 (first of 4 numbers)."

Includes bibliographical references (p. 131-133).

Introduction 1. Derived category of DG-modules 2. Derived categories of DG-comodules and DG-contramodules 3. Coderived and contraderived categories of CDG-modules 4. Coderived category of CDG-comodules and contraderived category of CDG-contramodules 5. Comodule-contramodule correspondence 6. Koszul duality: Conilpotent and nonconilpotent cases 7. $A_\infty $-algebras and curved $A_\infty $-coalgebras 8. Model categories of DG-modules, CDG-comodules, and CDG-contramodules 9. Model categories of DG-algebras and CDG-coalgebras Appendix A. Homogeneous Koszul duality Appendix B. $\mathcal $-$\Omega $ duality

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Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012


Mode of access : World Wide Web

ISBN: 9781470406134 (online)

Nat. Bib. Agency Control No.: 015821886 Uk

Subjects--Topical Terms:
Derived categories (Mathematics)
Triangulated categories.
Comodules.
Koszul algebras.

LC Class. No.: QA169 / .P67 2011

Dewey Class. No.: 512/.46