Handle homology of manifolds
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2018
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915781603753984 |
|---|---|
| author | Durst, Sebastian Geiges, Hansjörg Kegel, Marc |
| author_facet | Durst, Sebastian Geiges, Hansjörg Kegel, Marc |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1811_09055 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Handle homology of manifolds Durst, Sebastian Geiges, Hansjörg Kegel, Marc Geometric Topology Algebraic Topology 55N35, 57R65 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. |
| title | Handle homology of manifolds |
| topic | Geometric Topology Algebraic Topology 55N35, 57R65 |
| url | https://arxiv.org/abs/1811.09055 |