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arXiv · 1710.09579

Witten Deformation and Its Application toward Morse Inequalities

Fu-Hsuan Ho
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Abstract

In this undergraduate thesis, we present an analytical proof of the Morse inequalities for closed smooth $n$-manifolds following Witten's approach. Using techniques from PDE theory, the proof is reduced to study the eigenspaces and eigenvalues of harmonic oscillators on $\mathbb{R}^n$.

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Fu-Hsuan Ho. 2017-10-26. Witten Deformation and Its Application toward Morse Inequalities. https://arxiv.org/abs/1710.09579

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