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Toric actions on b-symplectic manifolds
dc.contributor.author | Miranda Galcerán, Eva |
dc.contributor.author | Pires, Ana Rita |
dc.contributor.author | Guillemin, Victor |
dc.contributor.author | Scott, Geoffrey |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2013-10-17T16:13:15Z |
dc.date.available | 2013-10-17T16:13:15Z |
dc.date.created | 2013 |
dc.date.issued | 2013 |
dc.identifier.citation | Miranda, E. [et al.]. "Toric actions on b-symplectic manifolds". 2013. |
dc.identifier.uri | http://hdl.handle.net/2117/20405 |
dc.description.abstract | We study Hamiltonian actions on b-symplectic manifolds with a focus on the e ective case of half the dimension of the manifold. In particular, we prove a Delzant-type theorem that classi es these manifolds using polytopes that reside in a certain enlarged and decorated version of the dual of the Lie algebra of the torus. At the end of the paper we suggest further avenues of study, including an example of a toric action on a b 2-manifold and applications of our ideas to integrable systems on b-manifolds |
dc.format.extent | 44 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics |
dc.subject.lcsh | Differential equations |
dc.title | Toric actions on b-symplectic manifolds |
dc.type | External research report |
dc.subject.lemac | Equacions diferencials |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.relation.publisherversion | http://arxiv.org/abs/1309.1897 |
dc.rights.access | Open Access |
local.identifier.drac | 12825832 |
dc.description.version | Preprint |
local.citation.author | Miranda, E.; Pires, A.; Guillemin, V.; Scott, G. |
local.citation.publicationName | Toric actions on b-symplectic manifolds |
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