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Braids in trivial braid diagrams
| Content Provider | Semantic Scholar |
|---|---|
| Author | Dehornoy, Patrick |
| Copyright Year | 2003 |
| Abstract | We show that every trivial 3-strand braid diagram contains a disk, defined as a ribbon ending in opposed crossings. Under a convenient algebraic form, the result extends to every Artin-Tits group of dihedral type, but it fails to extend to braids with 4 strands and more. The proof uses a partition of the Cayley graph and a continuity argument. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://arxiv.org/pdf/math/0311326v1.pdf |
| Alternate Webpage(s) | https://hal.archives-ouvertes.fr/file/index/docid/851/filename/Dgu.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
