Matrix factorizations and higher residue pairings
Algebraic Geometry
2014-03-03 v2 K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.1306.4878,
title = {Matrix factorizations and higher residue pairings},
author = {Dmytro Shklyarov},
journal= {arXiv preprint arXiv:1306.4878},
year = {2014}
}
Comments
v2: an updated and expanded version; what used to be the main conjecture in the first version is the main theorem now; notation changed