Classification of Hamiltonian torus actions with two dimensional quotients

2011/09/30 by Yael Karshon, Susan Tolman · 2 citations
Mathematics · #math.SG #math.AG #msc:53D20 #msc:53D35 #msc:37J15 #msc:57S15 #msc:52B20 #msc:14M25

paper · pdf · doi:10.2140/gt.2014.18.669

published as Geom. Topol. 18 (2014) 669-716 · 46 pages, 2 figures. v2: added a reference

arxiv created 2012/05/09 · arxiv updated 2014/11/11

Abstract

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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