Published 2011
| Published
Journal Article
Open
Cosmetic surgery in L–space homology spheres
- Creators
- Wu, Zhongtao
Chicago
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Abstract
Let K be a nontrivial knot in S^3, and let r and r′ be two distinct rational numbers of same sign. We prove that there is no orientation-preserving homeomorphism between the manifolds S_r^3(K) and S_r′^3(K). We further generalize this uniqueness result to knots in arbitrary L–space homology spheres.
Additional Information
© 2011 Geometry & Topology Publications. Received: 4 October 2010; Revised: 11 April 2011; Accepted: 3 May 2011; Published: 22 July 2011. Proposed: Rob Kirby. Seconded: Danny Calegari, Joan Birman.Attached Files
Published - Wu2011p15543Geom_Topol.pdf
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Wu2011p15543Geom_Topol.pdf
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Additional details
- Eprint ID
- 24986
- Resolver ID
- CaltechAUTHORS:20110822-152852180
- Created
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2011-08-23Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field