A remark on Hochschild cohomology and Koszul duality
K-Theory and Homology
2019-11-11 v2
Abstract
Applying recent results by Lowen-Van den Bergh we show that Hochschild cohomology is preserved under Koszul-Moore duality as a Gerstenhaber algebra. More precisely, the corresponding Hochschild complexes are linked by a quasi-isomorphism of B-infinity-algebras.
Keywords
Cite
@article{arxiv.1911.00965,
title = {A remark on Hochschild cohomology and Koszul duality},
author = {Bernhard Keller},
journal= {arXiv preprint arXiv:1911.00965},
year = {2019}
}
Comments
5 pages; v2: references completed, acknowledgments added