Fiedler, Thomas and Kurlin, Vitaliy 
ORCID: 0000-0001-5328-5351
(2010)
RECOGNIZING TRACE GRAPHS OF CLOSED BRAIDS.
OSAKA JOURNAL OF MATHEMATICS, 47 (4).
pp. 885-909.
![[thumbnail of trace-graphs-closed-braids.pdf]](https://livrepository.liverpool.ac.uk/style/images/fileicons/text.png) |
Text
trace-graphs-closed-braids.pdf - Author Accepted Manuscript Download (2MB) |
Abstract
To a closed braid in a solid torus we associate a trace graph in a thickened torus in such a way that closed braids are isotopic if and only if their trace graphs can be related by trihedral and tetraherdal moves. For closed braids with a fixed number of strands, we recognize trace graphs up to isotopy and trihedral moves in polynomial time with respect to the braid length.
| Item Type: | Article |
|---|---|
| Additional Information: | 20 pages, 15 figures |
| Uncontrolled Keywords: | math.GT, math.GT, math.AT, 57M25 |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 14 Dec 2016 15:30 |
| Last Modified: | 19 Jan 2023 07:24 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3004871 |
Share
Share
Share
CORE (COnnecting REpositories)