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- W4300893459 abstract "In this master thesis, I present a new family of knots in the solid torus called lassos, and their properties. Given a knot $K$ with Alexander polynomial $Delta_K(t)$, I then use these lassos as patterns to construct families of satellite knots that have Alexander polynomial $Delta_K(t^d)$ where $dinmathbb{N}cup {0}$. In particular, I prove that if $din{0,1,2,3}$ these satellite knots have different Jones polynomials. For this purpose, I give rise to a formula for calculating the Jones polynomial of a satellite knot in terms of the Jones polynomials of its pattern and companion." @default.
- W4300893459 created "2022-10-04" @default.
- W4300893459 creator A5066327817 @default.
- W4300893459 date "2015-01-08" @default.
- W4300893459 modified "2023-10-01" @default.
- W4300893459 title "On lassos and the Jones polynomial of satellite knots" @default.
- W4300893459 doi "https://doi.org/10.48550/arxiv.1501.01734" @default.
- W4300893459 hasPublicationYear "2015" @default.
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