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Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
2011.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 996. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.