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Complete invariants for Hamiltonian torus actions with two dimensional quotients

Yael Karshon·Susan Tolman
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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.

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Yael Karshon, Susan Tolman. 2003-12-14. Complete invariants for Hamiltonian torus actions with two dimensional quotients. https://arxiv.org/abs/math/0202167

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