Convexity properties of presymplectic moment maps

被引：10
|
作者：
Lin, Yi [1 ]
Sjamaar, Reyer [2 ]
机构：
[1] Georgia Southern Univ, Dept Math Sci, Statesboro, GA 30460 USA
[2] Cornell Univ, Dept Math, White Hall, Ithaca, NY 14853 USA
来源：
JOURNAL OF SYMPLECTIC GEOMETRY | 2019年 / 17卷 / 04期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.4310/JSG.2019.v17.n4.a6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The convexity and Morse-theoretic properties of moment maps in symplectic geometry typically fail for presymplectic manifolds. We find a condition on presymplectic moment maps that prevents these failures. Our result applies for instance to Prato's quasifolds and to Hamiltonian actions on contact manifolds and cosymplectic manifolds.
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页码：1159 / 1200
页数：42
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