Asian Journal of Mathematics
Volume 21 (2017)
Witten’s perturbation on strata
Pages: 47 – 126
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, equipped with adapted metrics. An adaptation of the analytic method of Witten is used in the proof, as well as certain operator related with the Dunkl harmonic oscillator.
Morse inequalities, ideal boundary condition, Thom–Mather stratification, Witten’s perturbation
2010 Mathematics Subject Classification