Witten's perturbation on strata

2012/05/02 by Jesús A. Álvarez López, López, Jesús A. Álvarez, Manuel Calaza +1
Mathematics · #57R30 #58A14 #58G11 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:57R30 #msc:58A14 #msc:58G11

paper · pdf · doi:10.48550/arxiv.1205.0348

79 pages

arxiv created 2015/07/28 · arxiv updated 2015/07/29

Abstract

The main result is a version of Morse inequalities for the minimum and maximum ideal boundary conditions of the de Rham complex on strata of compact Thom-Mather stratifications, endowed with adapted metrics. An adaptation of the analytic method of Witten is used in the proof, as well as certain perturbation of the harmonic oscillator related with the Dunkl harmonic oscillator.

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