The Fock-Rosly Poisson Structure as Defined by a Quasi-Triangular r-Matrix

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік
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dc.contributor.author	Mouquin, V.
dc.date.accessioned	2019-02-18T18:25:36Z
dc.date.available	2019-02-18T18:25:36Z
dc.date.issued	2017
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 53D17; 53D30; 17B62
dc.identifier.other	DOI:10.3842/SIGMA.2017.063
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148752
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	The author wishes to thank Jiang-Hua Lu, Marco Gualtieri and Francis Bischof f for their helpful comments. The author also wishes to thank the anonymous referees and editors, whose suggestions helped improve this paper.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	The Fock-Rosly Poisson Structure as Defined by a Quasi-Triangular r-Matrix	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA