Perturbations of basic Dirac operators on Riemannian foliations

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.

22 pages, fixed notation and typos

Cited by in corpus (1)

• Seiberg-Witten invariants on manifolds with Riemannian foliations of codimension 4