A proof of a conjecture of Shklyarov
K-Theory and Homology
2020-10-08 v3 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1909.04088,
title = {A proof of a conjecture of Shklyarov},
author = {Michael K. Brown and Mark E. Walker},
journal= {arXiv preprint arXiv:1909.04088},
year = {2020}
}
Comments
34 pages. Replaced Corollary 1.10 with line (1.10)