On D-modules of categories II
Algebraic Geometry
2022-03-01 v1 Algebraic Topology
Abstract
In our paper "On D-module of categories I", we provide two different methods of constructing D-module structures on the complex computing periodic cyclic homology associated to a family of stable infinity categories. One is based on a canonical extension of factorization homology. Another method uses the pair of Hochschild cohomology and Hochschild homology, Kodaira-Spencer map for a family of stable infinity categories, Koszul dualities,and the relation between dg Lie algebras and pointed formal stacks. In this paper, we prove that two resulting structures coindice.
Cite
@article{arxiv.2202.13568,
title = {On D-modules of categories II},
author = {Isamu Iwanari},
journal= {arXiv preprint arXiv:2202.13568},
year = {2022}
}