TY  - BOOK
AU  - Positselski,Leonid
TI  - Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470406134 (online)
AV  - QA169 .P67 2011
U1  - 512/.46 22
PY  - 2011///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Derived categories (Mathematics)
KW  - Triangulated categories
KW  - Comodules
KW  - Koszul algebras
N1  - "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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0996
UR  - http://dx.doi.org/10.1090/S0065-9266-2010-00631-8
ER  -