$2$-sphere bundles over compact surfaces
HTML articles powered by AMS MathViewer
- by Paul Melvin
- Proc. Amer. Math. Soc. 92 (1984), 567-572
- DOI: https://doi.org/10.1090/S0002-9939-1984-0760947-4
- PDF | Request permission
Abstract:
Closed $4$-manifolds which fiber over a compact surface with fiber a sphere are classified, and the fibration is shown to be unique (up to diffeomorphism).References
- William Browder, Diffeomorphisms of $1$-connected manifolds, Trans. Amer. Math. Soc. 128 (1967), 155–163. MR 212816, DOI 10.1090/S0002-9947-1967-0212816-0
- Ronald Fintushel, Local $S^{1}$ actions on $3$-manifolds, Pacific J. Math. 66 (1976), no. 1, 111–118. MR 515868
- Richard K. Lashof and Julius L. Shaneson, Classification of knots in codimension two, Bull. Amer. Math. Soc. 75 (1969), 171–175. MR 242175, DOI 10.1090/S0002-9904-1969-12197-X
- Paul Melvin and Jeffrey Parker, $4$-manifolds with large symmetry groups, Topology 25 (1986), no. 1, 71–83. MR 836725, DOI 10.1016/0040-9383(86)90006-6
- Peter Orlik and Frank Raymond, On $3$-manifolds with local $\textrm {SO}(2)$ action, Quart. J. Math. Oxford Ser. (2) 20 (1969), 143–160. MR 266214, DOI 10.1093/qmath/20.1.143
- H. Seifert, Topologie Dreidimensionaler Gefaserter Räume, Acta Math. 60 (1933), no. 1, 147–238 (German). MR 1555366, DOI 10.1007/BF02398271
Bibliographic Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 92 (1984), 567-572
- MSC: Primary 57R22; Secondary 55R25, 57S15
- DOI: https://doi.org/10.1090/S0002-9939-1984-0760947-4
- MathSciNet review: 760947