On knot Floer homology in double branched covers

Details On knot Floer homology in double branched covers On knot Floer homology in double branched covers

2007-06-05

arxiv.org/abs/0706.0741v2

Mathematics

Geometric Topology

Due to an error in section 8, the results on the contact element have been weakened

Scientific paper

Let L be a link in an thickened annulus. We specify the embedding of this annulus in the three sphere, and consider its complement thought of as the axis to L. In the right circumstances this axis lifts to a null-homologous knot in the double branched cover of the three sphere, branched over the embedded copy of L. This paper shows that the knot Floer homology of this lift, with mod 2 coefficients, can be computed from a spectral sequence starting at a type of Khovanov homology already described by Asaeda, Przytycki, and Sikora. We extend the known results about this type of Khovanov homology, and use it to provide a very simple explanation of the case when L is alternating for the obvious projection.

Affiliated with

Also associated with

No associations

Rating

On knot Floer homology in double branched covers 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 On knot Floer homology in double branched covers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On knot Floer homology in double branched covers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-356542