| M. Boileau and J. Otal, Scindements de Heegaard et groupe des homeotopies des petites varietes de Seifert, Invent. Math. 106 (1991), 85--107. |
....T 3 , c) M is S 1 D 2 or a I bundle over the torus or Klein bottle. # It is now known that two homeomorphisms of Seifert fiber spaces are homotopic if and only if they are isotopic, see [Wa] for Haken manifolds, Sc2] for irreducible Seifert manifolds with infinite fundamental groups, and [BO, RB, HR, R, B, La] for various cases of Seifert manifolds covered by S 3 and S 2 S 1 . Thus the word homotopic in the theorem can be replaced by isotopic . The theorem says that if M is not one of the listed manifolds, then Seifert fibrations on M are unique up to isotopy. We will restrict our discussion ....
M. Boileau and J. Otal, Scindements de Heegaard et groupe des homeotopies des petites varietes de Seifert, Invent. Math. 106 (1991), 85--107.
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