Complete invariants for Hamiltonian torus actions with two dimensional quotients

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We study torus actions on symplectic manifolds with proper moment maps in the case that each reduced space is two-dimensional. We provide a complete set of invariants for such spaces. Our proof uses sheaves of groupoids of Hamiltonian spaces.
Final version, to appear in the Journal of Symplectic Geometry. Previous title: Tall complexity one Hamiltonian torus actions. Revisions: improved exposition

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Symplectic Geometry, Differential Geometry, Geometric Topology, 53D20;53D35

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http://salesiana.dossiersoluciones.com/handle/123456789/63361

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0202167
 http://arxiv.org/abs/math/0202167

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arXiv