A chain-level HKR-type map and a Chern character formula
Algebraic Geometry
2021-09-30 v1 Mathematical Physics
K-Theory and Homology
math.MP
Symplectic Geometry
Abstract
We construct a Hochschild-Kostant-Rosenberg-type quasi-isomorphism for the negative cyclic homology of the category of global matrix factorizations on a smooth separated scheme of finite type over a field. The map is explicit enough to yield a negative cyclic Chern character formula for global matrix factorizations. We also extend these results to the equivariant case of a finite group.
Keywords
Cite
@article{arxiv.2109.14372,
title = {A chain-level HKR-type map and a Chern character formula},
author = {Kuerak Chung and Bumsig Kim and Taejung Kim},
journal= {arXiv preprint arXiv:2109.14372},
year = {2021}
}
Comments
32 pages. Any comments are welcome