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Transverse foliations of Seifert bundles and self homeomorphism of the circle

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References

  • [C-R]P. E. Conner andF. Raymond,Injective actions of toral groups, Topology10 (1971), 283–296.

    Article  MathSciNet  MATH  Google Scholar 

  • [dG]Maria Carmen del Gazolas,Foliations on Seifert bundles, to appear.

  • [G]L. Greenberg,Homomorphisms of triangle groups into PSL (2,C),Riemann surfaces and Related Topics, Proceedings of the 1978 Stony Brook conference (Princeton Univ. Press 1980), 167–181.

  • [L]G. Levitt,Feuilletages des variétés de dimension 3 qui sont des fibrés en circles. Comment Math. Helv.53 (1978), 572–594.

    Article  MathSciNet  MATH  Google Scholar 

  • [Mi]J. Milnor,On the existence of a connection with curvature zero, Comment. Math. Helv.32 (1957–58), 215–223.

    Article  MathSciNet  MATH  Google Scholar 

  • [Ne]W. D. Neumann,S 1-actions and the α-invariant of their involutions, Bonner Math. Schriften44 (Bonn 1970).

  • [N-R]W. D. Neumann andF. Raymond, Seifert manifolds, plumbing, μ-invariant and orientation reversing maps, Alg. and Geom. Topology, Springer Lecture Notes in Math.664 (1978), 163–196.

    Article  MathSciNet  MATH  Google Scholar 

  • [No] S. P. Novikov, Topology of foliations, Trans. of the Moscow Math. Soc. for the year 1965,14 (1967), 268–304.

    MATH  Google Scholar 

  • [O]P. Orlik, Seifert fibre spaces, Springer Lecture Notes in Math.291 (1972).

  • [R]R. Roussarie,Plongements dans les variétés feuilletées et classification de feuilletages sans holonomie, Publ. math. I.H.E.S.43 (1974), 101–141.

    Article  MATH  Google Scholar 

  • [Se]H. Seifert,Topologie dreidimensionaler gefaserter Raume, Acta. Math.60 (1933), 147–238.

    Article  MathSciNet  MATH  Google Scholar 

  • [Sch]A. J. Schwartz,A generalization of a Poincaré-Bendixson theorem to closed two dimensional manifolds, Amer. J. Math.85 (1963), 453–458.

    Article  MATH  Google Scholar 

  • [Su]D. Sullivan,A generalization of Milnor's inequalities concerning affine foliations and affine manifolds, Comment. Math. Helv.51 (1976), 183–184.

    Article  MathSciNet  MATH  Google Scholar 

  • [T]W. P. Thurston, Foliations of 3-manifolds which are circle bundles, thesis, Berkeley 1972.

  • [W]J. W. Wood,Bundles with totally disconnected structure group, Comment. Math. Helv.46 (1971), 257–273.

    Article  MathSciNet  MATH  Google Scholar 

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The authors wish to express their gratitude to the SFB 40 and the mathematical institute of the University of Bonn, under whose roof most of the work of this paper was done. The first and last authors are also grateful for the partial support of the NSF.

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Eisenbud, D., Hirsch, U. & Neumann, W. Transverse foliations of Seifert bundles and self homeomorphism of the circle. Commentarii Mathematici Helvetici 56, 638–660 (1981). https://doi.org/10.1007/BF02566232

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