Handle homology of manifolds
Geometric Topology
2026-02-10 v2 Algebraic Topology
Abstract
We give an entirely geometric proof, without recourse to cellular homology, of the fact that 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.
Keywords
Cite
@article{arxiv.1811.09055,
title = {Handle homology of manifolds},
author = {Sebastian Durst and Hansjörg Geiges and Marc Kegel},
journal= {arXiv preprint arXiv:1811.09055},
year = {2026}
}
Comments
15 pages, 8 figures; v2 includes a discussion of integral homology in the non-orientable case