Complete invariants for Hamiltonian torus actions with two dimensional quotients

2002/02/18 by Yael Karshon, Karshon, Yael, Susan Tolman +1 · 1 citation
Mathematics · #53D20 #53D35 #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #math.DG #math.GT #math.SG #msc:53D20 #msc:53D35

paper · pdf · doi:10.48550/arxiv.math/0202167

Final version, to appear in the Journal of Symplectic Geometry. Previous title: Tall complexity one Hamiltonian torus actions. Revisions: improved exposition

openalex publication_date 2002/02/18 · arxiv created 2003/12/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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