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arXiv · 2007.03206

Morse homology: orientation of the moduli space of gradient flow lines, coherence and applications

Mathieu Giroux
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Abstract

In this paper, we shall compute the chain complex and the corresponding homology of some Morse function $f$ over integer coefficients. The definition of the correct boundary operator requires a careful construction of moduli space of (pseudo)gradient flow lines orientations. We will then apply this construction in the computation of these homology groups on 4-manifolds.

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Mathieu Giroux. 2020-07-07. Morse homology: orientation of the moduli space of gradient flow lines, coherence and applications. https://arxiv.org/abs/2007.03206

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