Published August 2009
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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.
Additional Information
© 2009 Springer. Received: 28 December 2007 / Revised: 20 October 2008 / Published online: 10 January 2009. We are grateful to Michel Boileau, David Gabai and Tao Li for some very interesting discussions, to Marc Lackenby for helpful comments, and to John Luecke for a detailed description of his earlier proof of a special case of Theorem 1.4. The author is partially supported by an AIM Five-Year Fellowship. This research was partially conducted during the period the author was employed by the Clay Mathematics Institute as a Liftoff Fellow, and when the author visited University of Minnesota, Twin Cities. The author wishes to thank the above institutions for their supports, and special thanks are due to Tian-Jun Li for his hospitality.Attached Files
Submitted - 0712.4387.pdf
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Additional details
Identifiers
- Eprint ID
- 56825
- Resolver ID
- CaltechAUTHORS:20150421-115859030
Related works
- Describes
- http://arxiv.org/abs/0712.4387 (URL)
Funding
- AIM Five-Year Fellowship
- Clay Mathematics Institute
Dates
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2015-04-21Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field