Moduli spaces of toric manifolds

被引：0
作者：
Á. Pelayo
A. R. Pires
T. S. Ratiu
S. Sabatini
机构：
[1] Institute of Advanced Study,School of Mathematics
[2] Washington University,Mathematics Department
[3] Cornell University,Department of Mathematics
[4] Section de Mathématiques and Bernoulli Center,undefined
[5] Section de Mathématiques,undefined
来源：
Geometriae Dedicata | 2014年 / 169卷
关键词：
Toric manifold; Delzant polytope; Moduli space ; Metric space; MSC 53D20; MSC 53D05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We construct a distance on the moduli space of symplectic toric manifolds of dimension four. Then we study some basic topological properties of this space, in particular, path-connectedness, compactness, and completeness. The construction of the distance is related to the Duistermaat–Heckman measure and the Hausdorff metric. While the moduli space, its topology and metric, may be constructed in any dimension, the tools we use in the proofs are four-dimensional, and hence so is our main result.
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页码：323 / 341
页数：18
相关论文
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