Specialized Simpson's main estimates for cyclic harmonic $G$-bundles

TL;DR

This paper generalizes Simpson's main estimate to cyclic harmonic G-bundles with split automorphisms and applies it to classify Toda type G-harmonic bundles.

Contribution

It introduces a generalized estimate for cyclic harmonic G-bundles and uses it to classify Toda type G-harmonic bundles.

Findings

Generalized Simpson's estimate for cyclic harmonic G-bundles

Classification of Toda type G-harmonic bundles

Application of the estimate to new bundle types

Abstract

We study a generalization of specialized Simpson's main estimate in the context of cyclic harmonic $G$-bundles induced by split automorphisms. We apply it to the classification of Toda type $G$-harmonic bundles.