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Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence / [electronic resource] Leonid Positselski.

By: Material type: TextTextSeries: Memoirs of the American Mathematical Society ; no. 996.Publication details: Providence, R.I. : American Mathematical Society, 2011.Description: 1 online resource (v, 133 p.)ISBN:
  • 9781470406134 (online)
Subject(s): Additional physical formats: Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence /DDC classification:
  • 512/.46 22
LOC classification:
  • QA169 .P67 2011
Online resources:
Contents:
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. $\mathcal {D}$-$\Omega $ duality
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK13449

"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. $\mathcal {D}$-$\Omega $ duality

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

Mode of access : World Wide Web

Description based on print version record.

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