PERTURBATIONS OF BASIC DIRAC OPERATORS ON RIEMANNIAN FOLIATIONS

被引：2
|
作者：
Prokhorenkov, Igor [1 ]
Richardson, Ken [1 ]
机构：
[1] Texas Christian Univ, Dept Math, Ft Worth, TX 76129 USA
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2013年 / 24卷 / 09期
关键词：
Witten deformation; Dirac operator; localization; Riemannian foliation; equivariant index; basic index;
D O I：
10.1142/S0129167X13500729
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using the method of Witten deformation, we express the basic index of a transversal Dirac operator over a Riemannian foliation as the sum of integers associated to the critical leaf closures of a given foliated bundle map.
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页数：26
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