Surgery in dimension four and noncompact $5$-manifolds
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- by Daniel S. Silver PDF
- Trans. Amer. Math. Soc. 288 (1985), 43-50 Request permission
Abstract:
This paper describes a precise relationship between the problems of completing surgery in dimension four and finding boundaries for noncompact $5$-manifolds.References
- Sylvain E. Cappell and Julius L. Shaneson, On four dimensional surgery and applications, Comment. Math. Helv. 46 (1971), 500–528. MR 301750, DOI 10.1007/BF02566862
- Francis X. Connolly, Linking numbers and surgery, Topology 12 (1973), 389–409. MR 334245, DOI 10.1016/0040-9383(73)90031-1
- S. K. Donaldson, Self-dual connections and the topology of smooth $4$-manifolds, Bull. Amer. Math. Soc. (N.S.) 8 (1983), no. 1, 81–83. MR 682827, DOI 10.1090/S0273-0979-1983-15090-5
- Michael Hartley Freedman, The topology of four-dimensional manifolds, J. Differential Geometry 17 (1982), no. 3, 357–453. MR 679066
- Michael Freedman and Frank Quinn, Slightly singular $4$-manifolds, Topology 20 (1981), no. 2, 161–173. MR 605655, DOI 10.1016/0040-9383(81)90035-5
- John Milnor, Lectures on the $h$-cobordism theorem, Princeton University Press, Princeton, N.J., 1965. Notes by L. Siebenmann and J. Sondow. MR 0190942
- Frank Quinn, The stable topology of $4$-manifolds, Topology Appl. 15 (1983), no. 1, 71–77. MR 676968, DOI 10.1016/0166-8641(83)90049-4
- John Milnor, Lectures on the $h$-cobordism theorem, Princeton University Press, Princeton, N.J., 1965. Notes by L. Siebenmann and J. Sondow. MR 0190942
- L. C. Siebenmann, On detecting open collars, Trans. Amer. Math. Soc. 142 (1969), 201–227. MR 246301, DOI 10.1090/S0002-9947-1969-0246301-9
- Daniel S. Silver, Finding stable-boundaries for open five-dimensional manifolds, Amer. J. Math. 105 (1983), no. 6, 1309–1324. MR 721998, DOI 10.2307/2374442
- C. T. C. Wall, Surgery on compact manifolds, London Mathematical Society Monographs, No. 1, Academic Press, London-New York, 1970. MR 0431216
- Masayuki Yamasaki, Whitney’s trick for three $2$-dimensional homology classes of $4$-manifolds, Proc. Amer. Math. Soc. 75 (1979), no. 2, 365–371. MR 532167, DOI 10.1090/S0002-9939-1979-0532167-8
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 288 (1985), 43-50
- MSC: Primary 57R65; Secondary 57M99
- DOI: https://doi.org/10.1090/S0002-9947-1985-0773045-6
- MathSciNet review: 773045