Knot Floer homology of (1,1)-knots

Hiroshi Goda; Hiroshi Matsuda; Takayuki Morifuji

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Knot Floer homology of (1,1)-knots

Hiroshi Goda·Hiroshi Matsuda·Takayuki Morifuji

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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.

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BibTeX RIS

Hiroshi Goda, Hiroshi Matsuda, Takayuki Morifuji. 2003-11-06. Knot Floer homology of (1,1)-knots. https://arxiv.org/abs/math/0311084

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