Published September 23, 2011
| Submitted
Journal Article
Open
Dehn surgeries on knots in product manifolds
- Creators
- Ni, Yi
Chicago
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Abstract
We show that if a surgery on a knot in a product sutured manifold yields the same product sutured manifold, then this knot is a 0- or 1-crossing knot. The proof uses techniques from sutured manifold theory.
Additional Information
© 2011 London Mathematical Society. Received 27 January 2010; revised 20 June 2011. First published online: September 23, 2011 The author was partially supported by an AIM Five-Year Fellowship and NSF grant number DMS-0805807. We are grateful to Danny Calegari for helpful discussions on mapping class groups. This article is dedicated to the memory of Professor Andrew Lange.Attached Files
Submitted - 1001.5242v1.pdf
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Additional details
- Eprint ID
- 28633
- DOI
- 10.1112/jtopol/jtr020
- Resolver ID
- CaltechAUTHORS:20120103-152321356
- AIM Five-Year Fellowship
- NSF
- DMS-0805807
- Created
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2012-01-06Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field