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

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

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.

Lawrence P. Roberts

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