Complete Invariants for Hamiltonian Torus Actions with Two Dimensional Quotients

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2004Embargo end date: 01 Feb 2002 English Publisher:International Press of BostonJournal:Journal of Symplectic Geometry, volume 2, pages 25-82 (issn: 1527-5256, eissn: 1540-2347,

Copyright policy )Funded by:NSF | Operator Algebras Summer ...

Authors: Karshon , Yael; Tolman , Susan;

doi: 10.4310/jsg.2004.v2.n1.a2 , 10.48550/arxiv.math/0202167

arXiv: math/0202167

Complete Invariants for Hamiltonian Torus Actions with Two Dimensional Quotients

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Abstract

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

Related Organizations

Kansas State University
United States

Keywords

Mathematics - Differential Geometry, Hamiltonian \(T\)-manifold, complexity one space, Geometric Topology (math.GT), 53D20, 53D35, Mathematics - Geometric Topology, Differential Geometry (math.DG), Mathematics - Symplectic Geometry, Momentum maps; symplectic reduction, FOS: Mathematics, Symplectic Geometry (math.SG), 53D20;53D35, tall

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