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Estimates for the minimal crossing number

Hermann Gruber
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Abstract

In this paper I give estimates for the minimal crossing number, leading to a short proof that the crossing number is additive for torus links. These estimates are applied to several classes of links. Finally, I prove a part of a conjecture relating the HOMFLY polynomial and the Kauffman polynomial.

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Hermann Gruber. 2003-03-28. Estimates for the minimal crossing number. https://arxiv.org/abs/math/0303273

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