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Disks in trivial braid diagrams
| Content Provider | Semantic Scholar |
|---|---|
| Author | Dehornoy, Patrick |
| Copyright Year | 2004 |
| Abstract | 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. |
| Starting Page | 1067 |
| Ending Page | 1079 |
| Page Count | 13 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.top.2003.11.005 |
| Volume Number | 43 |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0311326v1.pdf |
| Alternate Webpage(s) | https://dehornoy.users.lmno.cnrs.fr/Papers/Dgu.pdf |
| Alternate Webpage(s) | http://www.math.unicaen.fr/~dehornoy/Papers/Dgu.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.top.2003.11.005 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
