Hirzebruch-Riemann-Roch for global matrix factorizations

Abstract

We prove a Hirzebruch-Riemann-Roch type formula for global matrix factorizations. This is established by an explicit realization of the abstract Hirzebruch-Riemann-Roch type formula of Shklarov. We also show a Grothendieck-Riemann-Roch type theorem.

17 pages

References in corpus (5)

• On Serre duality for compact homologically smooth DG algebras
• Chern Character for Global Matrix Factorizations
• General GLSM Invariants and Their Cohomological Field Theories
• Atiyah class and Chern character for global matrix factorizations
• A chain-level HKR-type map and a Chern character formula