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arXiv · 1907.01937

Quasi-parabolic Higgs bundles and null hyperpolygon spaces

Leonor Godinho·Alessia Mandini
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Abstract

We introduce the moduli space of quasi-parabolic $SL(2,\mathbb{C})$-Higgs bundles over a compact Riemann surface $Σ$ and consider a natural involution, studying its fixed point locus when $Σ$ is $\mathbb{C} \mathbb{P}^1$ and establishing an identification with a moduli space of null polygons in Minkowski $3$-space.

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Leonor Godinho, Alessia Mandini. 2021-04-05. Quasi-parabolic Higgs bundles and null hyperpolygon spaces. https://arxiv.org/abs/1907.01937

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