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Complete invariants for Hamiltonian torus actions with two dimensional quotients

Yael Karshon, Susan Tolman

math.SGarXiv:math/0202167

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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