Perturbations of basic Dirac operators on Riemannian foliations
Differential Geometry
2021-01-28 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1301.4514,
title = {Perturbations of basic Dirac operators on Riemannian foliations},
author = {Igor Prokhorenkov and Ken Richardson},
journal= {arXiv preprint arXiv:1301.4514},
year = {2021}
}
Comments
22 pages, fixed notation and typos