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A proof of a conjecture of Shklyarov
Published 9 Sep 2019 in math.KT and math.AG | (1909.04088v3)
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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