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arXiv · 1306.4806

Symplectic form on hyperpolygon spaces

Indranil Biswas·Carlos Florentino·Leonor Godinho·Alessia Mandini
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Abstract

In [GM], a family of parabolic Higgs bundles on $CP^1$ 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.

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Indranil Biswas, Carlos Florentino, Leonor Godinho, Alessia Mandini. 2013-06-20. Symplectic form on hyperpolygon spaces. https://doi.org/10.1007/s10711-015-0075-7

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