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Convexity for Hamiltonian torus actions on b-symplectic manifolds

dc.contributor.authorGuillemin, Victor
dc.contributor.authorMiranda Galcerán, Eva
dc.contributor.authorPires, Ana Rita
dc.contributor.authorScott, Geoffrey
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2019-03-12T15:41:42Z
dc.date.available2019-03-12T15:41:42Z
dc.date.issued2017
dc.identifier.citationGuillemin, V. [et al.]. Convexity for Hamiltonian torus actions on b-symplectic manifolds. "Mathematical research letters", 2017, vol. 24, núm. 2, p. 363-377.
dc.identifier.issn1073-2780
dc.identifier.urihttp://hdl.handle.net/2117/130271
dc.description.abstractn [GMPS] we proved that the moment map image of a b-symplectic toric manifold is a convex b-polytope. In this paper we obtain convexity results for the more general case of non-toric hamiltonian torus actions on b-symplectic manifolds. The modular weights of the action on the connected components of the exceptional hypersurface play a fundamental role: either they are all zero and the moment map behaves as in classic symplectic one, or they are all nonzero and the moment map behaves as in the toric b-symplectic case studied in [GMPS].
dc.format.extent15 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals
dc.subject.lcshHamiltonian systems
dc.subject.otherSymplectic Geometry
dc.subject.otherDifferential Geometry
dc.titleConvexity for Hamiltonian torus actions on b-symplectic manifolds
dc.typeArticle
dc.subject.lemacSistemes hamiltonians
dc.contributor.groupUniversitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
dc.identifier.doi10.4310/MRL.2017.v24.n2.a5
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
drac.iddocument18764282
dc.description.versionPreprint
upcommons.citation.authorGuillemin, V.; Miranda, E.; Pires, A.; Scott, G.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameMathematical research letters
upcommons.citation.volume24
upcommons.citation.number2
upcommons.citation.startingPage363
upcommons.citation.endingPage377


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