The Fock-Rosly Poisson Structure as Defined by a Quasi-Triangular r-Matrix
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
The Fock-Rosly Poisson Structure as Defined by a Quasi-Triangular r-Matrix
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| Creator |
Mouquin, V.
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| Description |
We reformulate the Poisson structure discovered by Fock and Rosly on moduli spaces of flat connections over marked surfaces in the framework of Poisson structures defined by Lie algebra actions and quasitriangular r-matrices, and we show that it is an example of a mixed product Poisson structure associated to pairs of Poisson actions, which were studied by J.-H. Lu and the author. The Fock-Rosly Poisson structure corresponds to the quasi-Poisson structure studied by Massuyeau, Turaev, Li-Bland, and Ševera under an equivalence of categories between Poisson and quasi-Poisson spaces.
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| Date |
2019-02-18T18:25:36Z
2019-02-18T18:25:36Z 2017 |
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| Type |
Article
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| Identifier |
The Fock-Rosly Poisson Structure as Defined by a Quasi-Triangular r-Matrix / V. Mouquin // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 10 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 53D17; 53D30; 17B62 DOI:10.3842/SIGMA.2017.063 http://dspace.nbuv.gov.ua/handle/123456789/148752 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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