On the knot Floer homology of twisted torus knots

Faramarz Vafaee

doi:10.1093/imrn/rnu130

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arXiv · 1311.3711

On the knot Floer homology of twisted torus knots

Faramarz Vafaee

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Abstract

In this paper we study the knot Floer homology of a subfamily of twisted $(p, q)$ torus knots where $q \equiv\pm1$ (mod $p$). Specifically, we classify the knots in this subfamily that admit L-space surgeries. To do calculations, we use the fact that these knots are $(1, 1)$ knots and, therefore, admit a genus one Heegaard diagram.

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BibTeX RIS

Faramarz Vafaee. 2014-09-03. On the knot Floer homology of twisted torus knots. https://doi.org/10.1093/imrn%2Frnu130

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