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arXiv · 1401.7236

Anti-holomorphic involutions of the moduli spaces of Higgs bundles

Indranil Biswas·Oscar García-Prada
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Abstract

We study anti-holomorphic involutions of the moduli space of principal $G$-Higgs bundles over a compact Riemann surface $X$, where $G$ is a complex semisimple Lie group. These involutions are defined by fixing anti-holomorphic involutions on both $X$ and $G$. We analyze the fixed point locus in the moduli space and their relation with representations of the orbifold fundamental group of $X$ equipped with the anti-holomorphic involution. We also study the relation with branes. This generalizes work by Biswas--Garc\'ıa-Prada--Hurtubise and Baraglia--Schaposnik.

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Indranil Biswas, Oscar García-Prada. 2015-02-01. Anti-holomorphic involutions of the moduli spaces of Higgs bundles. https://arxiv.org/abs/1401.7236

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