Precise Arrhenius law for p-forms: The Witten Laplacian and Morse-Barannikov complex
Analysis of PDEs
2011-05-31 v1 Algebraic Topology
Differential Geometry
Spectral Theory
Abstract
Accurate asymptotic expressions are given for the exponentially small eigenvalues of Witten Laplacians acting on p-forms. The key ingredient, which replaces explicit formulas for global quasimodes in the case p = 0, is Barannikov's presentation of Morse theory.
Keywords
Cite
@article{arxiv.1105.6007,
title = {Precise Arrhenius law for p-forms: The Witten Laplacian and Morse-Barannikov complex},
author = {Dorian Le Peutrec and Francis Nier and Claude Viterbo},
journal= {arXiv preprint arXiv:1105.6007},
year = {2011}
}