Volume 10, issue 3 (2010)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25, 1 issue

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 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
More Cappell–Shaneson spheres are standard

Robert E Gompf

Algebraic & Geometric Topology 10 (2010) 1665–1681
Bibliography
1 I R Aitchison, J H Rubinstein, Fibered knots and involutions on homotopy spheres, from: "Four-manifold theory (Durham, N.H., 1982)" (editors C Gordon, R Kirby), Contemp. Math. 35, Amer. Math. Soc. (1984) 1 MR780575
2 S Akbulut, Constructing a fake 4–manifold by Gluck construction to a standard 4–manifold, Topology 27 (1988) 239 MR948185
3 S Akbulut, A fake cusp and a fishtail, from: "Proceedings of 6th Gökova Geometry-Topology Conference", Turkish J. Math. 23 (1999) 19 MR1701637
4 S Akbulut, Cappell–Shaneson homotopy spheres are standard, Ann. of Math. (2) 171 (2010) 2171
5 S Akbulut, R Kirby, An exotic involution of S4, Topology 18 (1979) 75 MR528237
6 S Akbulut, R Kirby, A potential smooth counterexample in dimension 4 to the Poincaré conjecture, the Schoenflies conjecture, and the Andrews–Curtis conjecture, Topology 24 (1985) 375 MR816520
7 S E Cappell, J L Shaneson, Some new four-manifolds, Ann. of Math. (2) 104 (1976) 61 MR0418125
8 S E Cappell, J L Shaneson, There exist inequivalent knots with the same complement, Ann. of Math. (2) 103 (1976) 349 MR0413117
9 H Cohen, e al, PARI/GP, The PARI Group, Bordeaux (2008)
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, On Cappell–Shaneson 4–spheres, Topology Appl. 38 (1991) 123 MR1094545
12 R E Gompf, M Scharlemann, A Thompson, Fibered knots and potential counterexamples to the Property 2R and Slice-Ribbon Conjectures, Geom. Topol. 14 (2010) 2305
13 B Moishezon, Complex surfaces and connected sums of complex projective planes, 603, Springer (1977) MR0491730