Asymptotic equivariant holomorphic torsion forms

TL;DR

This paper investigates the asymptotic behavior of equivariant holomorphic torsion forms linked to high tensor powers of positive line bundles, extending previous results to an equivariant setting.

Contribution

It provides an equivariant extension of Puchol's asymptotic result for holomorphic torsion forms, advancing understanding in complex geometry and spectral theory.

Findings

Derived asymptotic formulas for equivariant holomorphic torsion forms

Extended Puchol's results to an equivariant context

Enhanced understanding of spectral invariants in complex geometry

Abstract

In this paper we study the asymptotic behaviour of the equivariant holomorphic analytic torsion forms associated with increasing powers of a fibrewise positive line bundle. The result is an equivariant extension of a result of Puchol.