Khovanov Homology and the Twist Number of Alternating Knots

Details Khovanov Homology and the Twist Number of Alternating Knots Khovanov Homology and the Twist Number of Alternating Knots

2006-09-11

arxiv.org/abs/math/0609314v1

Mathematics

Geometric Topology

14 pages, 12 figures

Scientific paper

X.S. Lin and O. Dasbach proved that the sum of the absolute value of the second and penultimate coefficients of the Jones polynomial of an alternating knot is equal to the twist number of the knot. In this paper we give a new proof of their result using Khovanov homology. The proof is by induction on the number of crossings using the long exact sequence in Khovanov homology corresponding to the Kauffman bracket skein relation.

Affiliated with

Also associated with

No associations

Rating

Khovanov Homology and the Twist Number of Alternating Knots 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 Khovanov Homology and the Twist Number of Alternating Knots, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Khovanov Homology and the Twist Number of Alternating Knots will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-691997