Algebraic & Geometric Topology Volume 6, issue 3 (2006)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP journals

The diameter of the set of boundary slopes of a knot

Ben Klaff and Peter B Shalen

Algebraic & Geometric Topology 6 (2006) 1095–1112

DOI: 10.2140/agt.2006.6.1095

Bibliography

1	M Brittenham, Exceptional Seifert-fibered spaces and Dehn surgery on 2–bridge knots, Topology 37 (1998) 665 MR1604911
2	M Culler, P B Shalen, Bounded, separating, incompressible surfaces in knot manifolds, Invent. Math. 75 (1984) 537 MR735339
3	M Culler, P B Shalen, Boundary slopes of knots, Comment. Math. Helv. 74 (1999) 530 MR1730656
4	M Culler, P B Shalen, Knots with only two strict essential surfaces, from: "Proceedings of the Casson Fest" (editors C Gordon, Y Rieck), Geom. Topol. Monogr. 7 (2004) 335 MR2172490
5	A E Hatcher, On the boundary curves of incompressible surfaces, Pacific J. Math. 99 (1982) 373 MR658066
6	J Hempel, 3–Manifolds, Princeton University Press (1976) MR0415619
7	D W Henderson, Extensions of Dehn's lemma and the loop theorem, Trans. Amer. Math. Soc. 120 (1965) 448 MR0187233
8	W Jaco, E Sedgwick, Decision problems in the space of Dehn fillings, Topology 42 (2003) 845 MR1958532
9	B Klaff, Boundary slopes of knots in closed manifolds with cyclic fundamental group, PhD thesis, University of Illinois at Chicago (2003)
10	L P Neuwirth, Knot groups, Annals of Mathematics Studies 56, Princeton University Press (1965) MR0176462
11	P B Shalen, Representations of 3–manifold groups, from: "Handbook of geometric topology", North-Holland (2002) 955 MR1886685
12	F Waldhausen, On irreducible 3–manifolds which are sufficiently large, Ann. of Math. $(2)$ 87 (1968) 56 MR0224099