Toric symplectic stacks

被引：9
|
作者：
Hoffman, Benjamin
机构：
来源：
ADVANCES IN MATHEMATICS | 2020年 / 368卷
基金：
美国国家科学基金会;
关键词：
Toric varieties; Symplectic geometry; Stacks; Hamiltonian mechanics; Integrable systems; ORBIFOLDS;
D O I：
10.1016/j.aim.2020.107135
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give an intrinsic definition of compact toric symplectic stacks, and show that they are classified by simple convex polytopes equipped with some additional combinatorial data. This generalizes Delzant's classification of compact toric symplectic manifolds. As an application, we show that any compact toric symplectic stack can be deformed to an ineffective toric orbifold. (C) 2020 Elsevier Inc. All rights reserved.
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页数：43
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