Collar lemma for Hitchin representations

TL;DR

This paper extends the classical collar lemma to Hitchin representations, providing a new geometric inequality that enhances understanding of the structure of these representations.

Contribution

It introduces an analog of the collar lemma specifically for Hitchin representations, a significant advancement in higher Teichmüller theory.

Findings

Established a collar lemma for Hitchin representations

Provided geometric inequalities for these representations

Enhanced understanding of Hitchin moduli spaces

Abstract

In this article, we prove an analog of the classical collar lemma in the setting of Hitchin representations.