Boundary slope diameter and crossing number of 2-bridge knots

Details Boundary slope diameter and crossing number of 2-bridge knots Boundary slope diameter and crossing number of 2-bridge knots

2005-10-24

arxiv.org/abs/math/0510496v2

Mathematics

Geometric Topology

21 pages, 7 figures. v2 - No changes - we only wish to note that this is an early version of a paper to appear in The Osaka Jo

Scientific paper

We prove that for 2-bridge knots, the diameter, D, of the set of boundary
slopes is twice the crossing number, c. This constitutes partial verification
of a conjecture that, for all knots in S^3, D is at most 2c.

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