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Some invariants of Pretzel links

  • Dongseok Kim (a1) and Jaeun Lee (a1)

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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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References

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Some invariants of Pretzel links

  • Dongseok Kim (a1) and Jaeun Lee (a1)

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