Atiyah class and Chern character for global matrix factorizations
Algebraic Geometry
2020-12-08 v3
Abstract
We define the Atiyah class for global matrix factorizations and use it to give a formula for the categorical Chern character and the boundary-bulk map for matrix factorizations, generalizing the formula in the local case obtained in arXiv:1002.2116. Our approach is based on developing the Lie algebra analogies observed by Kapranov alg-geom/9704009 and Markarian math/0610553.
Cite
@article{arxiv.1907.11441,
title = {Atiyah class and Chern character for global matrix factorizations},
author = {Bumsig Kim and Alexander Polishchuk},
journal= {arXiv preprint arXiv:1907.11441},
year = {2020}
}
Comments
v1: 16 pages; v2: 20 pages, added a section on $Z$-graded matrix factorizations; v3: 21 pages, minor improvements