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Pré-Publication, Document De Travail Année : 2005

Moment polytopes for symplectic manifolds with monodromy

San Vu Ngoc

Résumé

A 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.
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Dates et versions

hal-00004652 , version 1 (08-04-2005)

Identifiants

  • HAL Id : hal-00004652 , version 1

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San Vu Ngoc. Moment polytopes for symplectic manifolds with monodromy. 2005. ⟨hal-00004652⟩
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