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arXiv · 1308.2899

On non-isotopic spanning surfaces for a class of arborescent knots

Lawrence Roberts
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Abstract

We use the methods of Hedden, Juhasz, and Sarkar to exhibit a set of arborescent knots that bound large numbers of non-isotopic minimal genus spanning surfaces. In particular, we describe a sequence of prime knots K_{n} which will bound at least 2^{2n-1} non-isotopic minimal spanning surfaces of genus n.

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Lawrence Roberts. 2013-08-28. On non-isotopic spanning surfaces for a class of arborescent knots. https://arxiv.org/abs/1308.2899

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