Dehn surgeries that yield fibred $3$--manifolds
Geometric Topology
2007-12-31 v1
Abstract
We study Dehn surgeries on null-homotopic knots that yield fibred --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.
Keywords
Cite
@article{arxiv.0712.4387,
title = {Dehn surgeries that yield fibred $3$--manifolds},
author = {Yi Ni},
journal= {arXiv preprint arXiv:0712.4387},
year = {2007}
}
Comments
15 pages