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arxiv: 0712.4387 · v1 · submitted 2007-12-28 · 🧮 math.GT

Dehn surgeries that yield fibred 3--manifolds

classification 🧮 math.GT
keywords surgeriesfibreddehnmanifoldmanifoldsyieldadditionalanother
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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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