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arxiv: math/0202167 · v2 · submitted 2002-02-18 · 🧮 math.SG · math.DG· math.GT

Complete invariants for Hamiltonian torus actions with two dimensional quotients

classification 🧮 math.SG math.DGmath.GT
keywords actionscompletehamiltonianinvariantsspacestoruscasedimensional
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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.

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