Recognizing trace graphs of closed braids

Fiedler, T.; Kurlin, V.

Recognizing trace graphs of closed braids

Fiedler, T.; Kurlin, V.

Authors

T. Fiedler

V. Kurlin

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 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.

Citation

Fiedler, T., & Kurlin, V. (2010). Recognizing trace graphs of closed braids. Osaka Journal of Mathematics, 47(4), 885-909

Journal Article Type	Article
Publication Date	Dec 1, 2010
Deposit Date	Dec 7, 2010
Publicly Available Date	May 8, 2013
Journal	Osaka journal of mathematics
Print ISSN	0030-6126
Publisher	Departments of Mathematics of Osaka University and Osaka City University
Peer Reviewed	Peer Reviewed
Volume	47
Issue	4
Pages	885-909
Publisher URL	http://projecteuclid.org/euclid.ojm/1292854309