Knot Floer homology and Seifert surfaces

Details Knot Floer homology and Seifert surfaces Knot Floer homology and Seifert surfaces

2007-02-17

arxiv.org/abs/math/0702514v2

Algebraic & Geomertic Topology 8 (2008) 603-608

Mathematics

Geometric Topology

4 pages, n=0 case corrected

Scientific paper

10.2140/agt.2008.8.603

Let K be a knot in S^3 of genus g and let n>0. We show that if rk HFK(K,g) < 2^{n+1} (where HFK denotes knot Floer homology), in particular if K is an alternating knot such that the leading coefficient a_g of its Alexander polynomial satisfies |a_g| <2^{n+1}, then K has at most n pairwise disjoint non-isotopic genus g Seifert surfaces. For n=1 this implies that K has a unique minimal genus Seifert surface up to isotopy.

Affiliated with

Also associated with

No associations

Rating

Knot Floer homology and Seifert surfaces 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 Knot Floer homology and Seifert surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Knot Floer homology and Seifert surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-591483