Algebraic & Geometric Topology Volume 10, issue 2 (2010)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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The length of unknotting tunnels

Daryl Cooper, Marc Lackenby and Jessica S Purcell

Algebraic & Geometric Topology 10 (2010) 637–661

DOI: 10.2140/agt.2010.10.637

Bibliography

1	C Adams, Unknotting tunnels in hyperbolic $3$–manifolds, Math. Ann. 302 (1995) 177 MR1329452
2	C Adams, A W Reid, Unknotting tunnels in two-bridge knot and link complements, Comment. Math. Helv. 71 (1996) 617 MR1420513
3	H Akiyoshi, Y Nakagawa, M Sakuma, Shortest vertical geodesics of manifolds obtained by hyperbolic Dehn surgery on the Whitehead link, from: "KNOTS '96 (Tokyo)" (editor S Suzuki), World Sci. Publ. (1997) 433 MR1664979
4	L Bers, On moduli of Kleinian groups, Uspehi Mat. Nauk 29 (1974) 86 MR0422691
5	B H Bowditch, Geometrical finiteness for hyperbolic groups, J. Funct. Anal. 113 (1993) 245 MR1218098
6	R D Canary, M Culler, S Hersonsky, P B Shalen, Approximation by maximal cusps in boundaries of deformation spaces of Kleinian groups, J. Differential Geom. 64 (2003) 57 MR2015044
7	M Culler, P B Shalen, Varieties of group representations and splittings of $3$–manifolds, Ann. of Math. $(2)$ 117 (1983) 109 MR683804
8	D B A Epstein, R C Penner, Euclidean decompositions of noncompact hyperbolic manifolds, J. Differential Geom. 27 (1988) 67 MR918457
9	A Fathi, F Laudenbach, V Poenaru, editors, Travaux de Thurston sur les surfaces, Astérisque 66–67, Soc. Math. France (1979) 284 MR568308
10	D J Heath, H J Song, Unknotting tunnels for $P(-2,3,7)$, J. Knot Theory Ramifications 14 (2005) 1077 MR2196648
11	M Lackenby, J S Purcell, Geodesic arcs in compression bodies, in preparation
12	C Lecuire, An extension of the Masur domain, Preprint
13	A Marden, The geometry of finitely generated kleinian groups, Ann. of Math. $(2)$ 99 (1974) 383 MR0349992
14	A Marden, Outer circles. An introduction to hyperbolic $3$–manifolds, Cambridge Univ. Press (2007) MR2355387
15	B Maskit, Kleinian groups, Grund. der Math. Wissenschaften 287, Springer (1988) MR959135
16	C McMullen, Cusps are dense, Ann. of Math. $(2)$ 133 (1991) 217 MR1087348
17	J W Morgan, H Bass, editors, The Smith conjecture, Pure and Applied Math. 112, Academic Press (1984) MR758459
18	M Sakuma, J Weeks, Examples of canonical decompositions of hyperbolic link complements, Japan. J. Math. $($N.S.$)$ 21 (1995) 393 MR1364387
19	W P Thurston, The geometry and topology of three-manifolds, Princeton Univ. Math. Dept. Lecture Notes (1979)
20	W P Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. $($N.S.$)$ 19 (1988) 417 MR956596
21	J Weeks, SnapPea