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.

引用

页数：26

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