Hirzebruch-Riemann-Roch for global matrix factorizations
Bumsig Kim
TL;DR
This paper establishes a Hirzebruch-Riemann-Roch formula for global matrix factorizations, extending classical theorems to a new algebraic setting with explicit realizations.
Contribution
It provides the first explicit realization of a Hirzebruch-Riemann-Roch type formula for global matrix factorizations, connecting it with Grothendieck-Riemann-Roch.
Findings
Proved a Hirzebruch-Riemann-Roch formula for global matrix factorizations
Established a Grothendieck-Riemann-Roch type theorem in this context
Connected abstract formulas with explicit algebraic realizations
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.
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Taxonomy
TopicsAdvanced Topics in Algebra · Matrix Theory and Algorithms · graph theory and CDMA systems