Geodesic
The crossing number of satellite knots
Lackenby, Marc1
1Mathematical Institute, University of Oxford, Radcliffe Observatory Quarter, Woodstock Road, Oxford OX2 6GG, UK
Algebraic and Geometric Topology, Tome 14 (2014) no. 4, pp. 2379-2409
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We show that the crossing number of a satellite knot is at least 10−13 times the crossing number of its companion knot.

DOI : 10.2140/agt.2014.14.2379
Classification : 57M25
Keywords: satellite knot, crossing number

Lackenby, Marc  1

1 Mathematical Institute, University of Oxford, Radcliffe Observatory Quarter, Woodstock Road, Oxford OX2 6GG, UK 
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Lackenby, Marc. The crossing number of satellite knots. Algebraic and Geometric Topology, Tome 14 (2014) no. 4, pp. 2379-2409. doi: 10.2140/agt.2014.14.2379

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