Atiyah class and Chern character for global matrix factorizations

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.

v1: 16 pages; v2: 20 pages, added a section on $Z$-graded matrix factorizations; v3: 21 pages, minor improvements

References in corpus (2)

• Thom-Sebastiani & Duality for Matrix Factorizations
• Chern Character for Global Matrix Factorizations

Cited by in corpus (3)

• General GLSM Invariants and Their Cohomological Field Theories
• A chain-level HKR-type map and a Chern character formula
• Hirzebruch-Riemann-Roch for global matrix factorizations