Abstract
This paper studies the question of which manifolds fiber over the circle in dimensions four and five.
Similar content being viewed by others
References
W. Browder,Embedding 1-connected manifolds, Bull. Am. Math. Soc.72 (1960), 225–231.
W. Browder and J. Levine,Fibering manifolds over a circle, Comm. Math. Helv.40 (1966), 153–160.
S. Cappell,A splitting theorem for manifolds, Inven. Math.33 (1976), 69–170.
A. Casson,A Z-invariant for homology 3-spheres, to appear.
S. Cappell and J. Shaneson,On 4-dimensional s-cobordisms, J. Differ. Geom., to appear.
S. Cappell and J. Shaneson,The codimension two placement problem and homology equivalent manifolds, Ann. of Math.99 (1974), 277–348.
S. Donaldson,An application of gauge theory to four dimensional topology, J. Differ. Geom.18 (1983), 279–315.
F. T. Farrell,The obstruction to fibering a manifold over a circle, Indiana Univ. Math. J.21 (1971), 315–346; also Proc. ICM (Nice)2 (1970), 69–72.
M. Freedman,The topolgoy of four-dimensional manifolds, J. Differ. Geom.17 (1982), 357–454.
M. Freedman,The disk theorem for 4-dimensional manifolds, Proc. ICM (Warsaw) (1982), 647–663.
M. Freedman and F. Quinn,Topology of 4-manifolds, in preparation, to appear as an Annals of Math. Studies.
M. Freedman and L. Taylor, Λ-splitting 4-manifolds, Topology16 (1977), 181–184.
F. Hsu, Ph.D. thesis, University of Michigan, 1985.
J. Stallings,On fibering certain 3-manifolds, inTopology of 3-Manifolds, Prentice Hall, 1962, pp. 95–100.
C. T. C. Wall,Surgery On Compact Manifolds, Academic Press, 1970.
S. Weinberger,The Novikov conjecture and low-dimensional topology, Comm. Math. Helv.58 (1983), 355–364.
S. Weinberger,Desuspension of Actions, in preparation.
Author information
Authors and Affiliations
Additional information
Partially supported by an NSF Postdoctoral Fellowship.
Rights and permissions
About this article
Cite this article
Weinberger, S. On fibering four- and five-manifolds. Israel J. Math. 59, 1–7 (1987). https://doi.org/10.1007/BF02779663
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02779663