Convexity for Hamiltonian torus actions on b-symplectic manifolds
dc.contributor.author | Guillemin, Victor |
dc.contributor.author | Miranda Galcerán, Eva |
dc.contributor.author | Pires, Ana Rita |
dc.contributor.author | Scott, Geoffrey |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2019-03-12T15:41:42Z |
dc.date.available | 2019-03-12T15:41:42Z |
dc.date.issued | 2017 |
dc.identifier.citation | Guillemin, 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.issn | 1073-2780 |
dc.identifier.uri | http://hdl.handle.net/2117/130271 |
dc.description.abstract | n [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.extent | 15 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 |
dc.subject.lcsh | Hamiltonian systems |
dc.subject.other | Symplectic Geometry |
dc.subject.other | Differential Geometry |
dc.title | Convexity for Hamiltonian torus actions on b-symplectic manifolds |
dc.type | Article |
dc.subject.lemac | Sistemes hamiltonians |
dc.contributor.group | Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions |
dc.identifier.doi | 10.4310/MRL.2017.v24.n2.a5 |
dc.description.peerreviewed | Peer Reviewed |
dc.rights.access | Open Access |
local.identifier.drac | 18764282 |
dc.description.version | Preprint |
local.citation.author | Guillemin, V.; Miranda, E.; Pires, A.; Scott, G. |
local.citation.publicationName | Mathematical research letters |
local.citation.volume | 24 |
local.citation.number | 2 |
local.citation.startingPage | 363 |
local.citation.endingPage | 377 |
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