Torelli theorem for the moduli space of parabolic Higgs bundles

TL;DR

This paper extends the Torelli theorem to the moduli space of parabolic Higgs bundles, establishing a key geometric identification in this more general setting.

Contribution

It generalizes the existing Torelli theorem for Higgs bundles to include parabolic structures, broadening the scope of the original result.

Findings

Proves Torelli theorem for parabolic Higgs bundles

Identifies the moduli space uniquely from its geometric properties

Extends previous non-parabolic results to parabolic cases

Abstract

In this article we extend the proof given by Biswas and Gomez of a Torelli theorem for the moduli space of Higgs bundles with fixed determinant, to the parabolic situation.