Classification of Hamiltonian torus actions with two dimensional quotients

Details Classification of Hamiltonian torus actions with two dimensional quotients Classification of Hamiltonian torus actions with two dimensional quotients

2011-09-30

arxiv.org/abs/1109.6873v1

Mathematics

Symplectic Geometry

46 pages, 2 figures

Scientific paper

We construct all possible Hamiltonian torus actions for which all the
non-empty reduced spaces are two dimensional (and not single points) and the
manifold is connected and compact, or, more generally, the moment map is proper
as a map to a convex set. This construction completes the classification of
tall complexity one spaces.

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