The symplectic Deligne-Mumford stack associated to a stacky polytope
Symplectic Geometry
2012-03-07 v4 Algebraic Topology
Abstract
We discuss a symplectic counterpart of the theory of stacky fans. First, we define a stacky polytope and construct the symplectic Deligne-Mumford stack associated to the stacky polytope. Then we establish a relation between stacky polytopes and stacky fans: the stack associated to a stacky polytope is equivalent to the stack associated to a stacky fan if the stacky fan corresponds to the stacky polytope.
Cite
@article{arxiv.1009.3547,
title = {The symplectic Deligne-Mumford stack associated to a stacky polytope},
author = {Hironori Sakai},
journal= {arXiv preprint arXiv:1009.3547},
year = {2012}
}
Comments
20 pages; v2: To appear in Results in Mathematics