Classification of Hamiltonian torus actions with two-dimensional quotients

Yael Karshon; Susan Tolman

doi:10.2140/gt.2014.18.669

Classification of Hamiltonian torus actions with two-dimensional quotients

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	669-716
Number of pages	48
Journal	Geometry and Topology
Volume	18
Issue number	2
DOIs	https://doi.org/10.2140/gt.2014.18.669
State	Published - 2014
Externally published	Yes

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.2140/gt.2014.18.669

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Classification of Hamiltonian torus actions with two-dimensional quotients

Abstract

All Science Journal Classification (ASJC) codes

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