Published April 17, 2013
| Published
Journal Article
Open
Nonseparating spheres and twisted Heegaard Floer homology
- Creators
- Ni, Yi
Chicago
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Abstract
If a 3–manifold Y contains a nonseparating sphere, then some twisted Heegaard Floer homology of Y is zero. This simple fact allows us to prove several results about Dehn surgery on knots in such manifolds. Similar results have been proved for knots in L–spaces.
Additional Information
© 2013 Mathematical Sciences Publishers. Received: 1 September 2010. Accepted: 10 December 2012. Published: 17 April 2013. We are very grateful to David Gabai, Cameron Gordon and Matthew Hedden for helpful communications. This work was carried out when the author was at MIT. The author was partially supported by an AIM Five-Year Fellowship and NSF grant number DMS-0805807.Attached Files
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Additional details
- Eprint ID
- 39434
- Resolver ID
- CaltechAUTHORS:20130718-082647773
- AIM Five-Year Fellowship
- NSF
- DMS-0805807
- Created
-
2013-07-22Created from EPrint's datestamp field
- Updated
-
2021-11-09Created from EPrint's last_modified field
- Other Numbering System Name
- MathSciNet Review
- Other Numbering System Identifier
- MR3044606