Asymptotics of a Modified Holomorphic Analytic Torsion

TL;DR

This paper derives the leading asymptotic behavior of a modified holomorphic analytic torsion associated with a Dirac operator influenced by a real three-form, advancing understanding in geometric analysis.

Contribution

It provides a new asymptotic formula for the holomorphic analytic torsion of a modified Dirac operator involving a real three-form.

Findings

Established the leading term of the asymptotic expansion.

Connected the torsion's behavior to geometric structures.

Extended previous torsion asymptotics to a modified operator.

Abstract

We prove a formula for the leading term of the asymptotic expansion of the holomorphic analytic torsion of the Dirac operator modified by the Clifford action of a real three-form.