English

Symplectic form on hyperpolygon spaces

Symplectic Geometry 2024-05-01 v1 Algebraic Geometry

Abstract

In [GM], a family of parabolic Higgs bundles on CP1CP^1 has been constructed and identified with a moduli space of hyperpolygons. Our aim here is to give a canonical alternative construction of this family. This enables us to compute the Higgs symplectic form for this family and show that the isomorphism of [GM] is a symplectomorphism.

Keywords

Cite

@article{arxiv.1306.4806,
  title  = {Symplectic form on hyperpolygon spaces},
  author = {Indranil Biswas and Carlos Florentino and Leonor Godinho and Alessia Mandini},
  journal= {arXiv preprint arXiv:1306.4806},
  year   = {2024}
}

Comments

9 pages

R2 v1 2026-06-22T00:37:23.650Z