arXiv:math/0311084 [math.GT]AbstractReferencesReviewsResources
Knot Floer homology of (1,1)-knots
Hiroshi Goda, Hiroshi Matsuda, Takayuki Morifuji
Published 2003-11-06Version 1
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.
Comments: 17 pages, 17 figures
Categories: math.GT
Related articles: Most relevant | Search more
An unoriented skein exact triangle for knot Floer homology
arXiv:1808.00502 [math.GT] (Published 2018-08-01)
On two types of Heegaard diagram used in knot Floer homology
arXiv:1512.05422 [math.GT] (Published 2015-12-17)
Khovanov homology and knot Floer homology for pointed links