Complete invariants for Hamiltonian torus actions with two dimensional quotients

Mathematics – Symplectic Geometry

Scientific paper

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

Scientific paper

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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