Some invariants of pretzel links

Dongseok Kim; Jaeun Lee

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arXiv · 0704.1432

Some invariants of pretzel links

Dongseok Kim·Jaeun Lee

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Abstract

We show that nontrivial classical pretzel knots L(p,q,r) are hyperbolic with eight exceptions which are torus knots. We find Conway polynomials of n-pretzel links using a new computation tree. As applications, we compute the genera of n-pretzel links using these polynomials and find the basket number of pretzel links by showing that the genus and the canonical genus of a pretzel link are the same.

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BibTeX RIS

Dongseok Kim, Jaeun Lee. 2007-04-11. Some invariants of pretzel links. https://arxiv.org/abs/0704.1432

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