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Dehn surgeries that yield fibred 3-manifolds

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Abstract

We study Dehn surgeries on null-homotopic knots that yield fibred 3-manifolds when an additional (but natural) homological restriction is imposed. The major tool used is Gabai’s theory of sutured manifold decomposition. Such surgeries are negative examples to a question of Michel Boileau. Another result we will prove is about surgeries which reduce the Thurston norm of a fibred manifold.

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  1. Yi Ni

    Present address: Department of Mathematics, MIT, Room 2-306, 77 Massachusetts Avenue, Cambridge, MA, 02139-4307, USA

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  1. Department of Mathematics, Columbia University, MC 4406, 2990 Broadway, New York, NY, 10027, USA

    Yi Ni

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  1. Yi Ni
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Ni, Y. Dehn surgeries that yield fibred 3-manifolds. Math. Ann. 344, 863–876 (2009). https://doi.org/10.1007/s00208-008-0331-3

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  • DOI: https://doi.org/10.1007/s00208-008-0331-3

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