Heat kernel for non-minimal operators on a Kahler manifold

TL;DR

This paper investigates the heat kernel expansion for non-minimal operators on Kahler manifolds, expressing coefficients in terms of Seeley coefficients for the Hodge--de Rham Laplacian, advancing understanding of geometric analysis.

Contribution

It provides explicit expressions for heat kernel coefficients of non-minimal operators on Kahler manifolds in terms of known Seeley coefficients.

Findings

Derived heat kernel coefficients for non-minimal operators

Expressed coefficients using Seeley coefficients of Hodge--de Rham Laplacian

Enhanced methods for geometric analysis on Kahler manifolds

Abstract

The heat kernel expansion for a general non--minimal operator on the spaces $C^\infty (\Lambda^k)$ and $C^\infty (\Lambda^{p,q})$ is studied. The coefficients of the heat kernel asymptotics for this operator are expressed in terms of the Seeley coefficients for the Hodge--de Rham Laplacian.