Differential graded Koszul duality: An introductory survey

Author:

Positselski Leonid1

Affiliation:

1. Department of Algebra, Geometry and Mathematical Physics Institute of Mathematics of the Czech Academy of Sciences, Žitná Prague Czech Republic

Abstract

AbstractThis is an overview on derived nonhomogeneous Koszul duality over a field, mostly based on the author's memoir L. Positselski, Memoirs of the American Math. Society 212 (2011), no. 996, vi+133. The paper is intended to serve as a pedagogical introduction and a summary of the covariant duality between DG‐algebras and curved DG‐coalgebras, as well as the triality between DG‐modules, CDG‐comodules, and CDG‐contramodules. Some personal reminiscences are included as a part of historical discussion.

Publisher

Wiley

Subject

General Mathematics

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