Estimates for the minimal crossing number

Details Estimates for the minimal crossing number Estimates for the minimal crossing number

2003-03-21

arxiv.org/abs/math/0303273v3

Mathematics

Geometric Topology

v3: minor change. Acknowledgement added. 11 pages, 6 figures

Scientific paper

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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