Quasi-parabolic Higgs bundles and null hyperpolygon spaces

Leonor Godinho; Alessia Mandini

Quasi-parabolic Higgs bundles and null hyperpolygon spaces

Algebraic Geometry 2021-04-06 v2 Symplectic Geometry

Authors: Leonor Godinho , Alessia Mandini

Abstract

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

Keywords

higgs bundle moduli spaces of vector bundles moduli spaces

Cite

@article{arxiv.1907.01937,
  title  = {Quasi-parabolic Higgs bundles and null hyperpolygon spaces},
  author = {Leonor Godinho and Alessia Mandini},
  journal= {arXiv preprint arXiv:1907.01937},
  year   = {2021}
}

Comments

Appendix added. To appear in Trans. Amer. Math. Soc

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