We use grid diagrams to give a combinatorial algorithm for computing the knot Floer homology of the pullback of a knot K ⊂ S3 in its m-fold cyclic branched cover Σm(K), and we give computations when m=2 for over fifty three - bridge knots with up to eleven crossings.
All Science Journal Classification (ASJC) codes
- Geometry and Topology
- Branched cover
- Knot floer homology