Witten Deformation and Its Application toward Morse Inequalities
Differential Geometry
2017-10-27 v1
Abstract
In this undergraduate thesis, we present an analytical proof of the Morse inequalities for closed smooth -manifolds following Witten's approach. Using techniques from PDE theory, the proof is reduced to study the eigenspaces and eigenvalues of harmonic oscillators on .
Keywords
Cite
@article{arxiv.1710.09579,
title = {Witten Deformation and Its Application toward Morse Inequalities},
author = {Fu-Hsuan Ho},
journal= {arXiv preprint arXiv:1710.09579},
year = {2017}
}