Hamiltonian torus actions on symplectic orbifolds and toric varieties
Abstract
In the first part of the paper, we build a foundation for further work on Hamiltonian actions on symplectic orbifolds. Most importantly we prove the orbifold versions of the abelian connectedness and convexity theorems. In the second half, we prove that compact symplectic orbifolds with completely integrable torus actions are classified by convex simple rational polytopes with a positive integer attached to each facet and that all such orbifolds are algebraic toric varieties.
Keywords
Cite
@article{arxiv.dg-ga/9511008,
title = {Hamiltonian torus actions on symplectic orbifolds and toric varieties},
author = {Eugene Lerman and Susan Tolman},
journal= {arXiv preprint arXiv:dg-ga/9511008},
year = {2008}
}
Comments
AMSLaTeX using pb-diagram, lamsarrow, pb-lams, epic, eepic, amssymb, amscd, fullpage; 25pp. The source and dvi files are also available at http://www.math.uiuc.edu/~lerman/research.html . This paper is a substantial revision of "Symplectic toric orbifolds," dg-ga/9412005