Moduli Spaces of Generalized Hyperpolygons

@article{Rayan2020ModuliSO,
  title={Moduli Spaces of Generalized Hyperpolygons},
  author={Steven Rayan and Laura P. Schaposnik},
  journal={arXiv: Algebraic Geometry},
  year={2020}
}
We introduce the notion of generalized hyperpolygon, which arises as a representation, in the sense of Nakajima, of a comet-shaped quiver. We identify these representations with rigid geometric figures, namely pairs of polygons: one in the Lie algebra of a compact group and the other in its complexification. To such data, we associate an explicit meromorphic Higgs bundle on a genus-$g$ Riemann surface, where $g$ is the number of loops in the comet, thereby embedding the Nakajima quiver variety… 

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