In Godinho and Mandini (Adv Math 244:465-532, 2013), a family of parabolic Higgs bundles on was constructed and the parameter space for the family was 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 Godinho and Mandini (Adv Math 244:465-532, 2013) is actually a symplectomorphism.
Symplectic form on hyperpolygon spaces
Mandini, A.
2015-01-01
Abstract
In Godinho and Mandini (Adv Math 244:465-532, 2013), a family of parabolic Higgs bundles on was constructed and the parameter space for the family was 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 Godinho and Mandini (Adv Math 244:465-532, 2013) is actually a symplectomorphism.
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[2] I. Biswas, C. Florentino, L. Godinho, A. Mandini, Symplectic form on hyperpolygon spaces, Geome-?triae Dedicata, Vol. 179, Issue 1, 187–195, 2015.pdf
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