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arXiv · 2304.11675

Canonical pairing and Hirzebruch-Riemann-Roch formula for matrix factorizations

Hoil Kim·Taejung Kim
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Abstract

We formulate a realization of the canonical pairing in the negative cyclic homology of the category of local matrix factorizations and for global matrix factorizations, by introducing a twisted de Rham valued Todd class we establish a formula of the Hirzebruch-Riemann-Roch theorem in the case of periodic cyclic homology.

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Hoil Kim, Taejung Kim. 2023-04-23. Canonical pairing and Hirzebruch-Riemann-Roch formula for matrix factorizations. https://arxiv.org/abs/2304.11675

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