Moment polytopes for symplectic manifolds with monodromy

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dc.creatorNgoc, San Vu
dc.date2005-04-08
dc.date.accessioned2026-07-07T05:18:54Z
dc.date.available2026-07-07T05:18:54Z
dc.descriptionA natural way of generalising Hamiltonian toric manifolds is to permit the presence of generic isolated singularities for the moment map. For a class of such ``almost-toric 4-manifolds'' which admits a Hamiltonian $S^1$-action we show that one can associate a group of convex polygons that generalise the celebrated moment polytopes of Atiyah, Guillemin-Sternberg. As an application, we derive a Duistermaat-Heckman formula demonstrating a strong effect of the possible monodromy of the underlying integrable system.
dc.descriptionfinally a revision of the 2003 preprint. 29 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/math/0504165
dc.identifierhttp://arxiv.org/abs/math/0504165
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74830
dc.subjectSymplectic Geometry
dc.subjectMathematical Physics
dc.subject53D05;53D20;37J15;37J35;57R45
dc.titleMoment polytopes for symplectic manifolds with monodromy
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