Hostname: page-component-848d4c4894-4rdrl Total loading time: 0 Render date: 2024-06-21T10:23:21.200Z Has data issue: false hasContentIssue false
  • English
  • Français

Imbedding four-manifolds and slicing links

Published online by Cambridge University Press:  24 October 2008

Daniel Ruberman
Daniel Ruberman
Affiliation:
University of California, Berkeley
Get access Rights & Permissions [Opens in a new window]

Extract

At the 1977 Georgia Topology Conference, Cappell and Shaneson(6) announced the following theorem.

Let M be a closed oriented smooth four-manifold.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 91 , Issue 1 , January 1982 , pp. 107 - 110
Copyright
Copyright © Cambridge Philosophical Society 1982

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Akbulut, S. and Kirby, R.An exotic involution on S 4. Topology 18 (1979), 75–82.CrossRefGoogle Scholar
(2)Akbulut, S. and Kirby, R.Branched covers of surfaces in 4-manifolds. Math. Ann. 252 (1980), 111–133.CrossRefGoogle Scholar
(3)Barden, D.Simply connected five-manifolds. Ann. of Math. 82 (1965), 365–385.CrossRefGoogle Scholar
(4)Cappell, S. and Shaneson, J.The codimension two placement problem and homology equivalent manifolds. Ann. of Math. 99 (1974), 277–348.CrossRefGoogle Scholar
(5)Cappell, S. and Shaneson, J.Piecewise-linear imbeddings and their singularities. Ann. of Math. 103 (1976), 163–228.CrossRefGoogle Scholar
(6)Cappell, S. and Shaneson, J. Embeddings and immersions of four-dimensional manifolds in R 6. In Geometric topology, ed. Cantrell, J. (Academic Press, 1979).Google Scholar
(7)Cochran, T. Embedding 4-manifolds in S 5. (To appear.)Google Scholar
(8)Gutterrez, M. A.Concordance and homotopy. I. Fundamental group. Pac. J. Math. 82 (1979), 75–92.CrossRefGoogle Scholar
(9)Harer, J., Kas, A. and Kirby, R. Handlebody decompositions for complex surfaces. (To appear.)Google Scholar
(10)Laudenbach, F. and Poénaru, V.A note on 4-dimensional handlebodies. Bull. Soc. Math. France 100 (1972), 337–344.Google Scholar
(11)Mandlebaum, R.Four-dimensional topology. An introduction. Bull. Amer. Math. Soc. 2 (1980), 1–160.CrossRefGoogle Scholar
(12)Mtlnor, J.Lectures on the h-cobordism theorem (Princeton University Press, 1965).CrossRefGoogle Scholar
(13)Milnor, J. and Husemoller, D.Symmetric Bilinear Forms (Springer, 1973).CrossRefGoogle Scholar
(14)Wall, C. T. C.Diffeomorphisms of 4-manifolds. J. London Math. Soc. 39 (1964), 131–140.CrossRefGoogle Scholar
(15)Wall, C. T. C.On simply-connected 4-manifolds. J. London Math. Soc. 39 (1964), 141–149.CrossRefGoogle Scholar