Recognizing trace graphs of closed braids
Fiedler, Thomas ; Kurlin, Vitaliy
Osaka J. Math., Tome 47 (2010) no. 1, p. 885-909 / Harvested from Project Euclid
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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 tetrahedral 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.
Publié le : 2010-12-15
Classification:  57M25 
@article{1292854309,
     author = {Fiedler, Thomas and Kurlin, Vitaliy},
     title = {Recognizing trace graphs of closed braids},
     journal = {Osaka J. Math.},
     volume = {47},
     number = {1},
     year = {2010},
     pages = { 885-909},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1292854309}
}

Fiedler, Thomas; Kurlin, Vitaliy. Recognizing trace graphs of closed braids. Osaka J. Math., Tome 47 (2010) no. 1, pp.  885-909. http://gdmltest.u-ga.fr/item/1292854309/