Abstract
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 Tp,q satisfies δ(Tp,q)≥1/160 min(p, q). This answers a 1983 question of Gromov.
Original language | English (US) |
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Pages (from-to) | 637-646 |
Number of pages | 10 |
Journal | Annals of Mathematics |
Volume | 174 |
Issue number | 1 |
DOIs | |
State | Published - Jul 2011 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty