Knot Floer homology of (1,1)-knots

Details Knot Floer homology of (1,1)-knots Knot Floer homology of (1,1)-knots

2003-11-06

arxiv.org/abs/math/0311084v1

Mathematics

Geometric Topology

17 pages, 17 figures

Scientific paper

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.

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