Geodesic
Width of a satellite knot and its companion
Guo, Qilong1 ; Li, Zhenkun2
1 College of Science, China University of Petroleum-Beijing, Beijing, China
2 Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, United States
Algebraic and Geometric Topology, Tome 18 (2018) no. 1, pp. 1-13

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

In this paper, we give a proof of a conjecture which says that w(K) ≥ n2w(J), where w( ⋅) is the width of a knot, K is a satellite knot with J as its companion, and n is the winding number of the pattern. We also show that equality holds if K is a satellite knot with braid pattern.

DOI : 10.2140/agt.2018.18.1
Classification : 57M25, 57M27
Keywords: width, satellite knots, companion, pattern, winding number

Guo, Qilong 1 ; Li, Zhenkun 2

1 College of Science, China University of Petroleum-Beijing, Beijing, China
2 Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, United States 
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Guo, Qilong; Li, Zhenkun. Width of a satellite knot and its companion. Algebraic and Geometric Topology, Tome 18 (2018) no. 1, pp. 1-13. doi: 10.2140/agt.2018.18.1

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