PERTURBATIONS OF BASIC DIRAC OPERATORS ON RIEMANNIAN FOLIATIONS-Reference-Cited by-同舟云学术

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PERTURBATIONS OF BASIC DIRAC OPERATORS ON RIEMANNIAN FOLIATIONS

Published:2013-08 Issue:09 Volume:24 Page:1350072
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

PROKHORENKOV IGOR¹,RICHARDSON KEN¹

Affiliation:

1. Department of Mathematics, Texas Christian University, Box 298900, Fort Worth, Texas 76129, USA

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X13500729

Reference20 articles.

1. The basic component of the mean curvature of Riemannian foliations

2. Morse inequalities for pseudogroups of local isometries

3. Lecture Notes in Mathematics;Atiyah M. F.,1974

4. A Hopf index theorem for foliations

5. Index theory for basic Dirac operators on Riemannian foliations

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2. Seiberg–Witten invariants on manifolds with Riemannian foliations of codimension 4;Journal of Geometry and Physics;2016-09

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