Geometry & Topology Volume 14, issue 4 (2010)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Procedure

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Other MSP Journals

Fibered knots and potential counterexamples to the Property 2R and Slice-Ribbon Conjectures

Robert E Gompf, Martin Scharlemann and Abigail Thompson

Geometry & Topology 14 (2010) 2305–2347

DOI: 10.2140/gt.2010.14.2305

Bibliography

1	S Akbulut, Cappell–Shaneson homotopy spheres are standard, Ann. of Math. (2) 171 (2010) 2171 MR2680408
2	A J Casson, C M Gordon, Reducing Heegaard splittings, Topology Appl. 27 (1987) 275 MR918537
3	T D Cochran, J P Levine, Homology boundary links and the Andrews–Curtis conjecture, Topology 30 (1991) 231 MR1098917
4	M H Freedman, The topology of four-dimensional manifolds, J. Differential Geom. 17 (1982) 357 MR679066
5	M H Freedman, R E Gompf, S Morrison, K Walker, Man and machine thinking about the smooth 4–dimensional Poincaré conjecture, Quantum Topol. 1 (2010) 171 MR2657647
6	D Gabai, Foliations and the topology of 3–manifolds. II, J. Differential Geom. 26 (1987) 461 MR910017
7	D Gabai, Foliations and the topology of 3–manifolds. III, J. Differential Geom. 26 (1987) 479 MR910018
8	D Gabai, Surgery on knots in solid tori, Topology 28 (1989) 1 MR991095
9	S Gersten, On Rapaport’s example in presentations of the trivial group, Preprint (1987)
10	R E Gompf, Killing the Akbulut–Kirby 4–sphere, with relevance to the Andrews–Curtis and Schoenflies problems, Topology 30 (1991) 97 MR1081936
11	R E Gompf, More Cappell–Shaneson spheres are standard, Algebr. Geom. Topol. 10 (2010) 1665
12	R E Gompf, A I Stipsicz, 4–manifolds and Kirby calculus, 20, Amer. Math. Soc. (1999) MR1707327
13	J A Hillman, Alexander ideals of links, 895, Springer (1981) MR653808
14	R Kirby, A calculus for framed links in S³, Invent. Math. 45 (1978) 35 MR0467753
15	R Kirby, editor, Problems in low-dimensional topology, 2, Amer. Math. Soc. (1997) 35 MR1470751
16	R Kirby, P Melvin, Slice knots and property R, Invent. Math. 45 (1978) 57 MR0467754
17	F Laudenbach, V Poénaru, A note on 4–dimensional handlebodies, Bull. Soc. Math. France 100 (1972) 337 MR0317343
18	D Rolfsen, Knots and links, 7, Publish or Perish (1990) MR1277811
19	M Scharlemann, A A Thompson, Surgery on a knot in (surface × I), Algebr. Geom. Topol. 9 (2009) 1825 MR2550096