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arXiv · 2207.07063

Differential graded Koszul duality: an introductory survey

Leonid Positselski
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Abstract

This is an overview on derived nonhomogeneous Koszul duality over a field, mostly based on the author's memoir arXiv:0905.2621. 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.

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Leonid Positselski. 2022-07-14. Differential graded Koszul duality: an introductory survey. https://doi.org/10.1112/blms.12797

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