Algebraic & Geometric Topology Volume 10, issue 3 (2010)

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ISSN (electronic): 1472-2739

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More Cappell–Shaneson spheres are standard

Robert E Gompf

Algebraic & Geometric Topology 10 (2010) 1665–1681

DOI: 10.2140/agt.2010.10.1665

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