Knot Floer homology of (1,1)-knots
Geometric Topology
2007-05-23 v1
Abstract
We present a combinatorial method for a calculation of knot Floer homology with Z-coefficient of (1,1)-knots, and then demonstrate it for non-alternating (1,1)-knots with ten crossings and the pretzel knots of type (-2,m,n). Our calculations determine the unknotting numbers and 4-genera of the pretzel knots of this type.
Keywords
Cite
@article{arxiv.math/0311084,
title = {Knot Floer homology of (1,1)-knots},
author = {Hiroshi Goda and Hiroshi Matsuda and Takayuki Morifuji},
journal= {arXiv preprint arXiv:math/0311084},
year = {2007}
}
Comments
17 pages, 17 figures