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arXiv:1811.09055 [math.GT]AbstractReferencesReviewsResources

Handle homology of manifolds

Sebastian Durst, Hansjörg Geiges, Marc Kegel

Published 2018-11-22Version 1

We give an entirely geometric proof, without recourse to cellular homology, of the fact that $\partial^2=0$ in the chain complex defined by a handle decomposition of a given manifold. Topological invariance of the resulting `handle homology' is a consequence of Cerf theory.

Comments: 13 pages, 8 figures
Categories: math.GT, math.AT
Subjects: 55N35, 57R65
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