Pushing forward matrix factorizations
type: Item
instance of: scholarly article
title: Pushing forward matrix factorizations
zbMATH Open document ID: 1273.14014
DOI: 10.1215/00127094-2142641
author: Tobias Dyckerhoff
author: Daniel Murfet
published in: Duke Mathematical Journal
publication date: 2013-06-24T00:00:00Z
full work available at URL: https://arxiv.org/abs/1102.2957
full work available at URL: https://projecteuclid.org/euclid.dmj/1368193653
review text: The authors describe the pushforward of a matrix factorization along a ring morphism in terms of an idempotent defined using relative Atiyah classes, and use this construction to study the convolution of kernels defining integral functors between categories of matrix factorization. In addition, the authors give an elementary proof of a formula for the Chern character of the convolution generalizing the Hirzebruch-Riemann-Roch formula of \textit{A. Polishchuk} and \textit{A. Vaintrob} [Duke Math. J. 161, No. 10, 1863--1926 (2012; Zbl 1249.14001)].
Mathematics Subject Classification ID: 14C17
Mathematics Subject Classification ID: 14C40
Mathematics Subject Classification ID: 14-02
zbMATH DE Number: 6180314
zbMATH Keywords: convolution
zbMATH Keywords: Chern character
zbMATH Keywords: Atiyah class
zbMATH Keywords: Knorrer periodicity
Wikidata QID: Q114060421
reviewed by: Tong Wenting
MaRDI profile type: Publication
OpenAlex ID: W3101227649
arXiv ID: 1102.2957
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description: scientific article