Moduli spaces of toric manifolds

被引：10
|
作者：
Pelayo, A. [1 ,2 ]
Pires, A. R. [3 ]
Ratiu, T. S. [4 ,5 ]
Sabatini, S. [4 ]
机构：
[1] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA
[2] Washington Univ, Dept Math, St Louis, MO 63130 USA
[3] Cornell Univ, Dept Math, Ithaca, NY 14853 USA
[4] Ecole Polytech Fed Lausanne, Sect Math, Stn 8, CH-1015 Lausanne, Switzerland
[5] Ecole Polytech Fed Lausanne, Bernoulli Ctr, Stn 8, CH-1015 Lausanne, Switzerland
来源：
GEOMETRIAE DEDICATA | 2014年 / 169卷 / 01期
关键词：
Toric manifold; Delzant polytope; Moduli space; Metric space; CONVEXITY;
D O I：
10.1007/s10711-013-9858-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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：19
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