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arXiv · 1808.00304

Picard group and fundamental group of the moduli of Higgs bundles on curves

Sujoy Chakraborty·Arjun Paul
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Abstract

Let $X$ be an irreducible smooth projective curve of genus $g \geq 2$ over $\mathbb{C}$. Let $G$ be a connected reductive affine algebraic group over $\mathbb{C}$. Let $\mathrm{M}_{G, {\rm Higgs}}^{\delta}$ be the moduli space of semistable principal $G$--Higgs bundles on $X$ of topological type $\delta \in \pi_1(G)$. In this article, we compute the fundamental group and Picard group of $\mathrm{M}_{G, {\rm Higgs}}^{\delta}$.

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Sujoy Chakraborty, Arjun Paul. 2018-08-01. Picard group and fundamental group of the moduli of Higgs bundles on curves. https://doi.org/10.1515/coma-2018-0009

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