Symplectic form on hyperpolygon spaces

Abstract

In [GM], a family of parabolic Higgs bundles on $C{P}^1$ 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.

9 pages

Cited by in corpus (3)

• Hyperpolygons and Hitchin systems
• Moduli spaces of generalized hyperpolygons
• Moduli space of homologically trivial parabolic (Higgs) bundles on the projective line and applications