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arXiv · 2109.14372

A chain-level HKR-type map and a Chern character formula

Kuerak Chung·Bumsig Kim·Taejung Kim
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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.

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Kuerak Chung, Bumsig Kim, Taejung Kim. 2021-09-29. A chain-level HKR-type map and a Chern character formula. https://arxiv.org/abs/2109.14372

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