A proof of a conjecture of Shklyarov
arXiv:1909.04088
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.
34 pages. Replaced Corollary 1.10 with line (1.10)