On Transition Functions of Topological Toric Manifolds

Details On Transition Functions of Topological Toric Manifolds On Transition Functions of Topological Toric Manifolds

2011-10-20

arxiv.org/abs/1110.4527v2

Mathematics

Algebraic Topology

16 pages, 1 figure. Some grammar problems are fixed

Scientific paper

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 $z_j$'s and $\bar{z}_j$'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.

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