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Dal'nevostochnyi Matematicheskii Zhurnal, 2012, Volume 12, Number 1, Pages 35–47
(Mi dvmg227)
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This article is cited in 1 scientific paper (total in 1 paper)
On transition functions of Topological Toric Manifolds
Yu. Li Nanjing University
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 $z_j$'s and $\overline{z}_j$'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.
The main results of the paper were reported on the section talk at the International conference «Toric Topology and Automorphic Functions» (September, 5–10th, 2011, Khabarovsk, Russia).
Key words:
toric manifold, quasitoric manifold, Laurent monomial.
Received: 26.09.2011
Citation:
Yu. Li, “On transition functions of Topological Toric Manifolds”, Dal'nevost. Mat. Zh., 12:1 (2012), 35–47
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https://www.mathnet.ru/eng/dvmg227 https://www.mathnet.ru/eng/dvmg/v12/i1/p35
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Abstract page: | 268 | Full-text PDF : | 84 | References: | 43 | First page: | 1 |
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