Geodesic
On the distortion of knots on embedded surfaces
John Pardon1
1Department of Mathematics<br/> Princeton University<br/> Princeton, NJ 08544
Annals of mathematics, Tome 174 (2011) no. 1, pp. 637-646
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Our main result is a nontrivial lower bound for the distortion of some specific knots. In particular, we show that the distortion of the torus knot $T_{p,q}$ satisfies $\delta(T_{p,q}) \geq \frac 1{160}\min(p,q)$. This answers a 1983 question of Gromov.

DOI : 10.4007/annals.2011.174.1.21

John Pardon  1

1 Department of Mathematics<br/> Princeton University<br/> Princeton, NJ 08544 
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John Pardon. On the distortion of knots on embedded surfaces. Annals of mathematics, Tome 174 (2011) no. 1, pp. 637-646. doi: 10.4007/annals.2011.174.1.21

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