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arXiv · 2202.04418

Riemann-Roch for stacky matrix factorizations

Dongwook Choa·Bumsig Kim·Bhamidi Sreedhar
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Abstract

We establish a Hirzebruch-Riemann-Roch type theorem and Grothendieck-Riemann-Roch type theorem for matrix factorizations on quotient Deligne-Mumford stacks. For this we first construct a Hochschild-Kostant-Rosenberg type isomorphism explicit enough to yield a categorical Chern character formula. We next find an expression of the canonical pairing of Shklyarov under the isomorphism.

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Dongwook Choa, Bumsig Kim, Bhamidi Sreedhar. 2022-02-09. Riemann-Roch for stacky matrix factorizations. https://arxiv.org/abs/2202.04418

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