Computations of Heegaard-Floer knot homology
| dc.creator | Baldwin, John A. | |
| dc.creator | Gillam, W. D. | |
| dc.date | 2006-10-05 | |
| dc.date | 2007-01-29 | |
| dc.date.accessioned | 2026-07-07T07:43:18Z | |
| dc.date.available | 2026-07-07T07:43:18Z | |
| dc.description | Using a combinatorial approach described in a recent paper of Manolescu, Ozsváth, and Sarkar we compute the Heegaard-Floer knot homology of all knots with at most 12 crossings as well as the $τ$ invariant for knots through 11 crossings. We review the basic construction of \cite{MOS}, giving two examples that can be worked out by hand, and explain some ideas we used to simplify the computation. We conclude with a discussion of knot Floer homology for small knots, closely examining the Kinoshita-Teraska knot $KT_{2,1}$ and its Conway mutant. | |
| dc.description | 28 pages, 5 figures. We added a computation of the τinvariant for knots through 11 crossings as well as a computation of \hat{HFK} for all non-alternating 12 crossing knots | |
| dc.identifier | https://arxiv.org/abs/math/0610167 | |
| dc.identifier | http://arxiv.org/abs/math/0610167 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122772 | |
| dc.subject | Geometric Topology | |
| dc.title | Computations of Heegaard-Floer knot homology | |
| dc.type | text |