Witten’s perturbation on strata

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2017Embargo end date: 01 May 2012 English Publisher:International Press of BostonJournal:Asian Journal of Mathematics, volume 21, pages 47-126 (issn: 1093-6106, eissn: 1945-0036,

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Authors: López, Jesús A. Álvarez; Calaza, Manuel;

doi: 10.4310/ajm.2017.v21.n1.a2 , 10.48550/arxiv.1205.0348

arXiv: 1205.0348

Witten’s perturbation on strata

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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.

79 pages

Related Organizations

University of Santiago de Compostela
Spain

Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, 58A14, 58G11, 57R30

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