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Perturbations of basic Dirac operators on Riemannian foliations

Published 18 Jan 2013 in math.DG, math-ph, and math.MP | (1301.4514v2)

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.

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