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arXiv:2007.03206 [math.AT]AbstractReferencesReviewsResources

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

Mathieu Giroux

Published 2020-07-07Version 1

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

Comments: 25 pages, in French
Categories: math.AT, math.AG
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