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

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.

32 pages. Any comments are welcome

References in corpus (4)

• Matrix factorizations for nonaffine LG-models
• Hochschild (co)homology and Koszul duality
• Chern Character for Global Matrix Factorizations
• Atiyah class and Chern character for global matrix factorizations

Cited by in corpus (1)

• Hirzebruch-Riemann-Roch for global matrix factorizations