Algebraic & Geometric Topology Volume 8, issue 4 (2008)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

All exceptional surgeries on alternating knots are integral surgeries

Kazuhiro Ichihara

Algebraic & Geometric Topology 8 (2008) 2161–2173

DOI: 10.2140/agt.2008.8.2161

Bibliography

1	I Agol, Bounds on exceptional Dehn filling, Geom. Topol. 4 (2000) 431 MR1799796
2	I Agol, Bounds on exceptional Dehn filling II arXiv:0803.3088
3	S Boyer, X Zhang, Cyclic surgery and boundary slopes, from: "Geometric topology (Athens, GA, 1993)", AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 62 MR1470721
4	M Brittenham, Exceptional Seifert-fibered spaces and Dehn surgery on $2$–bridge knots, Topology 37 (1998) 665 MR1604911
5	M Brittenham, Y Q Wu, The classification of exceptional Dehn surgeries on 2–bridge knots, Comm. Anal. Geom. 9 (2001) 97 MR1807953
6	C Delman, Essential laminations and Dehn surgery on $2$–bridge knots, Topology Appl. 63 (1995) 201 MR1334307
7	C Delman, Constructing essential laminations which survive all Dehn surgeries, preprint
8	C Delman, R Roberts, Alternating knots satisfy Strong Property P, Comment. Math. Helv. 74 (1999) 376 MR1710698
9	M Eudave-Muñoz, Non-hyperbolic manifolds obtained by Dehn surgery on hyperbolic knots, from: "Geometric topology (Athens, GA, 1993)", AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 35 MR1470720
10	D Gabai, Problems in foliations and laminations, from: "Geometric topology (Athens, GA, 1993)", AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 1 MR1470750
11	D Gabai, U Oertel, Essential laminations in $3$–manifolds, Ann. of Math. $(2)$ 130 (1989) 41 MR1005607
12	F González-Acuña, H Short, Knot surgery and primeness, Math. Proc. Cambridge Philos. Soc. 99 (1986) 89 MR809502
13	C M Gordon, J Luecke, Non-integral toroidal Dehn surgeries, Comm. Anal. Geom. 12 (2004) 417 MR2074884
14	A Hatcher, U Oertel, Boundary slopes for Montesinos knots, Topology 28 (1989) 453 MR1030987
15	A Hatcher, W Thurston, Incompressible surfaces in $2$–bridge knot complements, Invent. Math. 79 (1985) 225 MR778125
16	K Ichihara, Integral non-hyperbolike surgeries, J. Knot Theory Ramifications 17 (2008) 257 MR2400664
17	K Ichihara, I D Jong, S Mizushima, Seifert fibered surgeries on alternating Montesinos knots, in preparation
18	R Kirby, editor, Problems in low-dimensional topology, AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 35 MR1470751
19	M Lackenby, Word hyperbolic Dehn surgery, Invent. Math. 140 (2000) 243 MR1756996
20	M Lackenby, R Meyerhoff, The maximal number of exceptional Dehn surgeries arXiv:0808.1176
21	W B R Lickorish, M B Thistlethwaite, Some links with nontrivial polynomials and their crossing-numbers, Comment. Math. Helv. 63 (1988) 527 MR966948
22	W Menasco, Closed incompressible surfaces in alternating knot and link complements, Topology 23 (1984) 37 MR721450
23	W Menasco, M B Thistlethwaite, Surfaces with boundary in alternating knot exteriors, J. Reine Angew. Math. 426 (1992) 47 MR1155746
24	R M Patton, Incompressible punctured tori in the complements of alternating knots, Math. Ann. 301 (1995) 1 MR1312568
25	G Perelman, The entropy formula for the Ricci flow and its geometric applications arXiv:math/0211159
26	G Perelman, Ricci flow with surgery on three-manifolds arXiv:math/0303109
27	G Perelman, Finite extinction time for the solutions to the Ricci flow on certain three-manifolds arXiv:math/0307245
28	D Rolfsen, Knots and links, Mathematics Lecture Series 7, Publish or Perish (1976) MR0515288
29	P Scott, The geometries of $3$–manifolds, Bull. London Math. Soc. 15 (1983) 401 MR705527
30	M B Thistlethwaite, On the algebraic part of an alternating link, Pacific J. Math. 151 (1991) 317 MR1132393
31	W P Thurston, The geometry and topology of three-manifolds, Princeton University, Princeton (1980)
32	W P Thurston, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. $($N.S.$)$ 6 (1982) 357 MR648524
33	Y Q Wu, Dehn surgery on arborescent knots, J. Differential Geom. 43 (1996) 171 MR1424423
34	Y Q Wu, Dehn surgery on arborescent knots and links—a survey, Chaos Solitons Fractals 9 (1998) 671 MR1628749
35	Y Q Wu, The classification of toroidal Dehn surgeries on Montesinos knots, to appear in Topology arXiv:math/0610870
36	Y Q Wu, Exceptional Dehn surgery on large arborescent knots arXiv:math/0610871