Stair-step bridge spectra does not imply high distance

Nicholas Owad

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arXiv · 1510.08469

Stair-step bridge spectra does not imply high distance

Nicholas Owad

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Abstract

Tomova, along with results of Bachman and Schleimer, showed that any high distance knot has a stair-step bridge spectrum. In this paper, we compute the bridge spectra and distance of generalized Montesinos knots. In particular, we produce the first example of a class of knots which attain the stair-step bridge spectra but are not high distance, by computing the bridge spectra of certain pretzel knots and Montesinos knots.

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Nicholas Owad. 2015-10-28. Stair-step bridge spectra does not imply high distance. https://arxiv.org/abs/1510.08469

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