A new criterion for knots with free periods

Details A new criterion for knots with free periods A new criterion for knots with free periods

2003-10-29

arxiv.org/abs/math/0310458v1

Mathematics

Geometric Topology

14 pages, 1 figure

Scientific paper

Let $p\geq 2$ and $q\neq 0$ an integer. A knot $K$ in the three-sphere is said to be a $(p,q)$-lens knot if and only if it covers a link in the lens space $L(p,q)$. In this paper, we use the second coefficient of the HOMFLY polynomial to provide a necessary condition for a knot to be a $(p,q)$-lens knot. As an application, it is shown that this criterion rules out the possibility of being $(5,1)$-lens for 80 among the 84 knots with less than 9 crossings.

Affiliated with

Also associated with

No associations

Rating

A new criterion for knots with free periods 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 new criterion for knots with free periods, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A new criterion for knots with free periods will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-199880