Published September 23, 2011
| Version Submitted
Journal Article
Open
Dehn surgeries on knots in product manifolds
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
Files
1001.5242v1.pdf
Additional details
Identifiers
- Eprint ID
- 28633
- DOI
- 10.1112/jtopol/jtr020
- Resolver ID
- CaltechAUTHORS:20120103-152321356
Related works
- Describes
- http://arxiv.org/abs/1001.5242 (URL)
Funding
- AIM Five-Year Fellowship
- NSF
- DMS-0805807
Dates
- Created
-
2012-01-06Created from EPrint's datestamp field
- Updated
-
2021-11-09Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department