The crossing number of satellite knots

Details The crossing number of satellite knots The crossing number of satellite knots

2011-06-15

arxiv.org/abs/1106.3095v2

Mathematics

Geometric Topology

26 pages, 10 figures; v2: a significant gap in the proof has been filled

Scientific paper

We show that the crossing number of a satellite knot is at least 10^{-13}
times the crossing number of its companion knot.

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