On the Anomaly Formula for the Cappell-Miller Holomorphic Torsion

TL;DR

This paper derives an explicit anomaly formula for the Cappell-Miller holomorphic torsion on Kähler manifolds, providing a precise mathematical expression for how the torsion varies.

Contribution

It offers the first explicit anomaly formula for the Cappell-Miller holomorphic torsion in the context of Kähler geometry.

Findings

Derived an explicit anomaly formula for the torsion.

Clarified the dependence of torsion on geometric data.

Enhanced understanding of holomorphic torsion variations.

Abstract

We present an explicit expression of the anomaly formula for the Cappell-Miller holomorphic torsion for K\"{a}hler manifolds.