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- W2949156779 abstract "We compute the genus zero bridge numbers and give lower bounds on the genus one bridge numbers for a large class of sufficiently generic hyperbolic twisted torus knots. As a result, the bridge spectra of these knots have two gaps which can be chosen to be arbitrarily large, providing the first known examples of hyperbolic knots exhibiting this property. In addition, we show that there are Berge and Dean knots with arbitrarily large genus one bridge numbers, and as a result, we give solutions to problems of Eudave-Mu~noz concerning tunnel number one knots." @default.
- W2949156779 created "2019-06-27" @default.
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- W2949156779 date "2014-03-25" @default.
- W2949156779 modified "2023-09-27" @default.
- W2949156779 title "Bridge spectra of twisted torus knots" @default.
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