Asymptotic equivariant holomorphic torsion forms

2024/08/22 by Pascal Teßmer, Tessmer, Pascal
Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2408.12559

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.

Related

• The Asymptotic of the Holomorphic Analytic Torsion Forms
• Toeplitz operators and the full asymptotic torsion forms
• Singularities and analytic torsion
• The asymptotic growth of equivariant sections of positive and big line bundles
• Sur une inégalité fonctionnelle sur les variétés toriques avec application à la torsion analytique holomorphe