English

Witten's perturbation on strata

Differential Geometry 2015-07-29 v9

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.

Keywords

Cite

@article{arxiv.1205.0348,
  title  = {Witten's perturbation on strata},
  author = {Jesús A. Álvarez López and Manuel Calaza},
  journal= {arXiv preprint arXiv:1205.0348},
  year   = {2015}
}

Comments

79 pages

R2 v1 2026-06-21T20:57:28.939Z