On non-isotopic spanning surfaces for a class of arborescent knots
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 Kn which will bound at least 22n-1 non-isotopic minimal spanning surfaces of genus n.
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