Vassiliev invariants and knots modulo pure braid subgroups

Details Vassiliev invariants and knots modulo pure braid subgroups Vassiliev invariants and knots modulo pure braid subgroups

1998-05-20

arxiv.org/abs/math/9805092v1

Mathematics

Geometric Topology

21 pages, plain tex, 4 eps figures

Scientific paper

We show that two knots have matching Vassiliev invariants of order less than n if and only if they are equivalent modulo the nth group of the lower central series of some pure braid group, thus characterizing Vassiliev's knot invariants in terms of the structure of the braid groups. We also prove some results about knots modulo the nth derived subgroups of the pure braid groups, and about knots modulo braid subgroups in general.

Affiliated with

Also associated with

No associations

Rating

Vassiliev invariants and knots modulo pure braid subgroups 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 Vassiliev invariants and knots modulo pure braid subgroups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vassiliev invariants and knots modulo pure braid subgroups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-86263