Symplectic form on hyperpolygon spaces
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2013
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| Subjects: | |
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| _version_ | 1866916228368433152 |
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| author | Biswas, Indranil Florentino, Carlos Godinho, Leonor Mandini, Alessia |
| author_facet | Biswas, Indranil Florentino, Carlos Godinho, Leonor Mandini, Alessia |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1306_4806 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Symplectic form on hyperpolygon spaces Biswas, Indranil Florentino, Carlos Godinho, Leonor Mandini, Alessia Symplectic Geometry Algebraic Geometry 14D20, 14H60 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. |
| title | Symplectic form on hyperpolygon spaces |
| topic | Symplectic Geometry Algebraic Geometry 14D20, 14H60 |
| url | https://arxiv.org/abs/1306.4806 |