Equivariant Higher Analytic Torsion and Equivariant Euler Characteristic

TL;DR

This paper demonstrates that J. Lott's equivariant higher analytic torsion for compact group actions is determined solely by the equivariant Euler characteristic, simplifying its computation and understanding.

Contribution

It establishes a direct dependence of equivariant higher analytic torsion on the equivariant Euler characteristic, revealing a fundamental link.

Findings

Equivariant higher analytic torsion depends only on the equivariant Euler characteristic.

Simplifies the understanding and computation of equivariant torsion.

Provides a new perspective on the relationship between torsion and Euler characteristic.

Abstract

We show that J. Lott's equivariant higher analytic torsion for compact group actions depends only on the equivariant Euler characteristic.