On Transition Functions of Topological Toric Manifolds
Algebraic Topology
2016-03-23 v2 Algebraic Geometry
Symplectic Geometry
Abstract
We show that any topological toric manifold can be covered by finitely many open charts so that all the transition functions between these charts are Laurent monomials of 's and 's. In addition, we will describe toric manifolds and some special class of topological toric manifolds in terms of transition functions of charts up to (weakly) equivariant diffeomorphism.
Keywords
Cite
@article{arxiv.1110.4527,
title = {On Transition Functions of Topological Toric Manifolds},
author = {Li Yu},
journal= {arXiv preprint arXiv:1110.4527},
year = {2016}
}
Comments
16 pages, 1 figure. Some grammar problems are fixed