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Symplectic form on hyperpolygon spaces

Published 20 Jun 2013 in math.SG and math.AG | (1306.4806v1)

Abstract: In [GM], a family of parabolic Higgs bundles on $CP1$ 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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