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A chain-level HKR-type map and a Chern character formula (2109.14372v1)
Published 29 Sep 2021 in math.AG, math-ph, math.KT, math.MP, and math.SG
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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