Branes and moduli spaces of Higgs bundles on smooth projective varieties

Indranil Biswas; Sebastian Heller; Laura P. Schaposnik

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arXiv · 2005.02564

Branes and moduli spaces of Higgs bundles on smooth projective varieties

Indranil Biswas·Sebastian Heller·Laura P. Schaposnik

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Abstract

Given a smooth complex projective variety $M$ and a smooth closed curve $X \subset M$ such that the homomorphism of fundamental groups $\pi_1(X) \rightarrow \pi_1(M)$ is surjective, we study the restriction map of Higgs bundles, namely from Higgs bundles on $M$ to those on $X$. In particular, we investigate the interplay between this restriction map and various types of branes contained in the moduli spaces of Higgs bundles on $M$ and $X$. We also consider the set-up where a finite group is acting on $M$ via holomorphic automorphisms or anti-holomorphic involutions, and the curve $X$ is preserved by the action. Branes are studied in this context.

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BibTeX RIS

Indranil Biswas, Sebastian Heller, Laura P. Schaposnik. 2020-05-06. Branes and moduli spaces of Higgs bundles on smooth projective varieties. https://arxiv.org/abs/2005.02564

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