Parallelisability of 3-manifolds via surgery
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2018
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| Subjects: | |
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| _version_ | 1866911428788617216 |
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| author | Durst, Sebastian Geiges, Hansjörg Pérez, Jesús Gonzalo Kegel, Marc |
| author_facet | Durst, Sebastian Geiges, Hansjörg Pérez, Jesús Gonzalo Kegel, Marc |
| contents | We present two proofs that all closed, orientable 3-manifolds are parallelisable. Both are based on the Lickorish-Wallace surgery presentation; one proof uses a refinement due to Kaplan and some basic contact geometry. This complements a recent paper by Benedetti-Lisca. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1808_05072 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Parallelisability of 3-manifolds via surgery Durst, Sebastian Geiges, Hansjörg Pérez, Jesús Gonzalo Kegel, Marc Geometric Topology 57R25 (Primary) 57R65, 53D10, 57M99 (Secondary) We present two proofs that all closed, orientable 3-manifolds are parallelisable. Both are based on the Lickorish-Wallace surgery presentation; one proof uses a refinement due to Kaplan and some basic contact geometry. This complements a recent paper by Benedetti-Lisca. |
| title | Parallelisability of 3-manifolds via surgery |
| topic | Geometric Topology 57R25 (Primary) 57R65, 53D10, 57M99 (Secondary) |
| url | https://arxiv.org/abs/1808.05072 |