Curved Koszul duality and cyclic (co)homology
Rings and Algebras
2021-10-26 v2 K-Theory and Homology
Quantum Algebra
Abstract
We study the curved Koszul duality theory for associative algebras presented by quadratic-linear-constant (QLC) relations. As an application, we investigate the cyclic (co)homology of a QLC algebra and its Koszul dual curved DG algebra, and extend a result due to Feigin and Tsygan. We also study a commutative/Lie analog of this curved Koszul duality theory.
Keywords
Cite
@article{arxiv.2110.04893,
title = {Curved Koszul duality and cyclic (co)homology},
author = {Yining Zhang},
journal= {arXiv preprint arXiv:2110.04893},
year = {2021}
}
Comments
27 pages, comments welcome; typos corrected, references added