English

Symplectic toric stratified spaces with isolated singularities

Symplectic Geometry 2021-11-04 v2

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.

Keywords

Cite

@article{arxiv.1510.05740,
  title  = {Symplectic toric stratified spaces with isolated singularities},
  author = {Seth Wolbert},
  journal= {arXiv preprint arXiv:1510.05740},
  year   = {2021}
}

Comments

Significantly revised version of the original after several rounds of editing, including a refined version of the main theorem and errors from the original fixed. 57 pages