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Classification of
Hamiltonian torus actions with two-dimensional quotients
Yael Karshon and Susan Tolman |
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Geometry & Topology 18 (2014) 669–716
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Abstract |
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We construct all possible Hamiltonian torus actions for which all the nonempty 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. |
Keywords
Hamiltonian torus action, symplectic geometry, momentum
map, moment map
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Mathematical Subject Classification 2010
Primary: 53D35
Secondary: 53D20, 57S15, 52B20, 14M25
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References |
Publication
Received: 9 May 2012
Revised: 23 February 2013
Accepted: 9 April 2013
Published: 20 March 2014
Proposed: Frances Kirwan
Seconded: Leonid Polterovich, Richard Thomas
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Authors |
| Yael Karshon | |
| Department of Mathematics University of Toronto 40st George Street 6th floor Toronto, ON M5S 2E4 Canada |
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| http://www.math.toronto.edu/karshon | |
| Susan Tolman | |
| Department of Mathematics University of Illinois at Urbana-Champaign 1409 West Green Street Urbana, IL 61801 USA |
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| http://www.math.uiuc.edu/~stolman | |
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