Year: 2013
Type: article
Abstract: We describe the pushforward of a matrix factorization along a ring morphism in terms of an idempotent defined using relative Atiyah classes, and we use this construction to study the convolution of kernels defining integral functors between categories of matrix factorizations. We give an elementary proof of a formula for the Chern character of the convolution generalizing the Hirzebruch–Riemann–Roch formula of Polishchuk and Vaintrob.
Source: Duke Mathematical Journal
Authors: Tobias Dyckerhoff, Daniel Murfet
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Hausdorff Center for Mathematics
OpenAlex ID: W2005921915