Dehn surgeries that yield fibred 3-manifolds |
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| Authors: | Yi Ni |
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| Institution: | (1) Department of Mathematics, Columbia University, MC 4406, 2990 Broadway, New York, NY 10027, USA;(2) Present address: Department of Mathematics, MIT, Room 2-306, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA |
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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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