Smooth nontrivial 4-dimensional $s$-cobordisms
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- by Sylvain E. Cappell and Julius L. Shaneson PDF
- Bull. Amer. Math. Soc. 17 (1987), 141-143
References
- Selman Akbulut and Robion Kirby, A potential smooth counterexample in dimension $4$ to the Poincaré conjecture, the Schoenflies conjecture, and the Andrews-Curtis conjecture, Topology 24 (1985), no. 4, 375–390. MR 816520, DOI 10.1016/0040-9383(85)90010-2
- Sylvain E. Cappell and Julius L. Shaneson, A counterexample on the oozing problem for closed manifolds, Algebraic topology, Aarhus 1978 (Proc. Sympos., Univ. Aarhus, Aarhus, 1978), Lecture Notes in Math., vol. 763, Springer, Berlin, 1979, pp. 627–634. MR 561242
- Sylvain E. Cappell and Julius L. Shaneson, On $4$-dimensional $s$-cobordisms, J. Differential Geom. 22 (1985), no. 1, 97–115. MR 826426
- Sylvain E. Cappell and Julius L. Shaneson, Some new four-manifolds, Ann. of Math. (2) 104 (1976), no. 1, 61–72. MR 418125, DOI 10.2307/1971056 [D] S. Donaldson, On Dolgachev’s surfaces (to appear).
- Michael H. Freedman, The disk theorem for four-dimensional manifolds, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Warsaw, 1983) PWN, Warsaw, 1984, pp. 647–663. MR 804721
- Michael Hartley Freedman, The topology of four-dimensional manifolds, J. Differential Geometry 17 (1982), no. 3, 357–453. MR 679066 [H] J. F. P. Hudson, PL topology, Benjamin, New York, 1970.
- Michel A. Kervaire, Le théorème de Barden-Mazur-Stallings, Comment. Math. Helv. 40 (1965), 31–42 (French). MR 189048, DOI 10.1007/BF02564363
- Robion C. Kirby and Laurence C. Siebenmann, Foundational essays on topological manifolds, smoothings, and triangulations, Annals of Mathematics Studies, No. 88, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1977. With notes by John Milnor and Michael Atiyah. MR 0645390, DOI 10.1515/9781400881505 [KwS] S. Kwasik and R. Schultz, Topological s-cobordisms of space-forms (to appear). [MS] T. Matumoto and L. C. Siebenmann, The topological s-cobordism theorem in dimension four or five, Proc. Cambridge Philos. Soc. 84 (1968), 85-87.
- C. P. Rourke and B. J. Sanderson, Introduction to piecewise-linear topology, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 69, Springer-Verlag, New York-Heidelberg, 1972. MR 0350744, DOI 10.1007/978-3-642-81735-9
- J. H. Rubinstein, On $3$-manifolds that have finite fundamental group and contain Klein bottles, Trans. Amer. Math. Soc. 251 (1979), 129–137. MR 531972, DOI 10.1090/S0002-9947-1979-0531972-6
- S. Smale, On the structure of manifolds, Amer. J. Math. 84 (1962), 387–399. MR 153022, DOI 10.2307/2372978
Additional Information
- Journal: Bull. Amer. Math. Soc. 17 (1987), 141-143
- MSC (1985): Primary 57R80
- DOI: https://doi.org/10.1090/S0273-0979-1987-15542-X
- MathSciNet review: 888891