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.

引用

页码：323 / 341

页数：19

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