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arXiv · 1909.04088

A proof of a conjecture of Shklyarov

Michael K. Brown·Mark E. Walker
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Abstract

We prove a conjecture of Shklyarov concerning the relationship between K. Saito's higher residue pairing and a certain pairing on the periodic cyclic homology of matrix factorization categories. Along the way, we give new proofs of a result of Shklyarov and Polishchuk-Vaintrob's Hirzebruch-Riemann-Roch formula for matrix factorizations.

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Michael K. Brown, Mark E. Walker. 2019-09-09. A proof of a conjecture of Shklyarov. https://arxiv.org/abs/1909.04088

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