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arXiv · 1510.05740

Symplectic toric stratified spaces with isolated singularities

Seth Wolbert
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Abstract

The goal of this paper is to classify symplectic toric stratified spaces with isolated singularities. This extends a result of Burns, Guillemin, and Lerman which carries out this classification in the compact connected case. In making this classification, it is necessary to classify symplectic toric cones. Via a well-known equivalence between symplectic toric cones and contact toric manifolds, this allows for the classification of contact toric manifolds as well, extending Lerman's classification of compact connected contact toric manifolds.

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Seth Wolbert. 2015-10-20. Symplectic toric stratified spaces with isolated singularities. https://doi.org/10.4310/jsg.2020.v18.n5.a6

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