Cables of thin knots and bordered Heegaard Floer homology
Geometric Topology
2014-10-20 v3
Abstract
We use bordered Floer homology to give a formula for the knot Floer homology of any (p, pn+1)-cable of a thin knot K in terms of Delta_K(t), tau(K), p, and n. We also give a formula for the Ozsvath-Szabo concordance invariant tau(K_{p, pn+1}) in terms of tau(K), p, and n, and a formula for tau(K_{p,q}) for almost all relatively prime p and q.
Keywords
Cite
@article{arxiv.0911.2679,
title = {Cables of thin knots and bordered Heegaard Floer homology},
author = {Ina Petkova},
journal= {arXiv preprint arXiv:0911.2679},
year = {2014}
}
Comments
29 pages, 7 figures; corrected minor mistakes and expanded exposition