Outputs (2)

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

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 numbe... Read More about Recognizing trace graphs of closed braids.

A 1-parameter approach to links in a solid torus (2010)
Journal Article
Fiedler, T., & Kurlin, V. (2010). A 1-parameter approach to links in a solid torus. Journal of the Mathematical Society of Japan, 62(1), 167-211. https://doi.org/10.2969/jmsj/06210167

To an oriented link in a solid torus we associate a trace graph in a thickened torus in such a way that links are isotopic if and only if their trace graphs can be related by moves of finitely many standard types. The key ingredient is a study of cod... Read More about A 1-parameter approach to links in a solid torus.