Computing Knot Floer Homology in Cyclic Branched Covers
Geometric Topology
2016-01-20 v2 Symplectic Geometry
Abstract
We use grid diagrams to give a combinatorial algorithm for computing the knot Floer homology of the pullback of a knot K in its m-fold cyclic branched cover Sigma^m(K), and we give computations when m=2 for over fifty three-bridge knots with up to eleven crossings.
Keywords
Cite
@article{arxiv.0709.1427,
title = {Computing Knot Floer Homology in Cyclic Branched Covers},
author = {Adam Simon Levine},
journal= {arXiv preprint arXiv:0709.1427},
year = {2016}
}
Comments
30 pages, 2 figures, 1 long table. Added computations in Section 5; rewrote Section 6; corrected typos and minor mistakes