EQUIVARIANT INDICES OF SPINc-DIRAC OPERATORS FOR PROPER MOMENT MAPS

被引：15
|
作者：
Hochs, Peter [1 ]
Song, Yanli [2 ]
机构：
[1] Univ Adelaide, Sch Math Sci, Adelaide, SA, Australia
[2] Dartmouth Coll, Dept Math, Hanover, NH 03755 USA
来源：
DUKE MATHEMATICAL JOURNAL | 2017年 / 166卷 / 06期
关键词：
GEOMETRIC-QUANTIZATION; PRESYMPLECTIC MANIFOLDS; MULTIPLICITIES; CONJECTURE; REDUCTION;
D O I：
10.1215/00127094-3792923
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define an equivariant index of Spin(c)-Dirac operators on possibly noncompact manifolds, acted on by compact, connected Lie groups. Our main result is that the index decomposes into irreducible representations according to the quantization commutes with reduction principle.
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页码：1125 / 1178
页数：54
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