Geodesic
Presentation length and Simon’s conjecture
Agol, Ian1 ; Liu, Yi1
1 Department of Mathematics, University of California, Berkeley, 970 Evans Hall #3840, Berkeley, California 94720-3840
Journal of the American Mathematical Society, Tome 25 (2012) no. 1, pp. 151-187

Voir la notice de l'article provenant de la source American Mathematical Society

In this paper, we show that any knot group maps onto at most finitely many knot groups. This gives an affirmative answer to a conjecture of J. Simon. We also bound the diameter of a closed hyperbolic 3-manifold linearly in terms of the presentation length of its fundamental group, improving a result of White.
DOI : 10.1090/S0894-0347-2011-00711-X

Agol, Ian 1 ; Liu, Yi 1

1 Department of Mathematics, University of California, Berkeley, 970 Evans Hall #3840, Berkeley, California 94720-3840 
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Agol, Ian; Liu, Yi. Presentation length and Simon’s conjecture. Journal of the American Mathematical Society, Tome 25 (2012) no. 1, pp. 151-187. doi: 10.1090/S0894-0347-2011-00711-X

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