Matrix factorizations and higher residue pairings

Abstract

The periodic cyclic homology of any proper dg category comes equipped with a canonical pairing. We show that in the case of the dg category of matrix factorizations of an isolated singularity the canonical pairing can be identified with the so-called higher residue pairing on the twisted de Rham cohomology of the singularity.

v2: an updated and expanded version; what used to be the main conjecture in the first version is the main theorem now; notation changed