Matrix factorizations and higher residue pairings

2013/06/20 by Shklyarov, Dmytro
#Algebraic Geometry (math.AG) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1306.4878

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.

Related

• Higher residues and canonical pairing on the twisted de Rham cohomology
• Canonical pairing and Hirzebruch-Riemann-Roch formula for matrix factorizations
• A proof of a conjecture of Shklyarov
• Non-commutative Hodge structures: Towards matching categorical and geometric examples
• On some (co)homological invariants of coherent matrix factorizations