A 1-parameter approach to links in a solid torus

Details A 1-parameter approach to links in a solid torus A 1-parameter approach to links in a solid torus

2006-06-15

arxiv.org/abs/math/0606381v3

Mathematics

Geometric Topology

38 pages, 14 figures, the applications on closed braids were moved to another paper `Recognising trace graphs of closed braids

Scientific paper

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 codimension~2 singularities of link diagrams. For closed braids with a fixed number of strands, trace graphs can be recognized up to equivalence excluding one type of moves in polynomial time with respect to the braid length.

Affiliated with

Also associated with

No associations

Rating

A 1-parameter approach to links in a solid torus does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A 1-parameter approach to links in a solid torus, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A 1-parameter approach to links in a solid torus will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-390242