Some invariants of pretzel links

Details Some invariants of pretzel links Some invariants of pretzel links

2007-04-11

arxiv.org/abs/0704.1432v1

Bull. Austral. Math. Soc. 75 (2007), no. 2, 253--271

Mathematics

Geometric Topology

Scientific paper

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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