Published June 5, 2009
| Submitted
Journal Article
Open
Two applications of twisted Floer homology
- Creators
- Ai, Yinghua
- Ni, Yi
Abstract
Given an irreducible closed three-manifold Y, we show that its twisted Heegaard Floer homology determines whether Y is a torus bundle over the circle. Another result we will prove is, if K is a genus-1 null-homologous knot in an L-space, and the zero surgery on K is fibered, then K itself is fibered. These two results are the missing cases of earlier results due to the second author.
Additional Information
© The Author 2009. Published by Oxford University Press. Received September 4, 2008. Revision received April 28, 2009. Accepted May 1, 2009. Communicated by Prof. Yasha Eliashberg We are grateful to Peter Ozsváth and Zoltán Szabó for suggesting us to use twisted Heegaard Floer homology for the genus-1 case. In particular, we thank Peter for helpful conversations and encouragements and for providing the ideas to prove Proposition 3.2. The first author would also like to thank Thomas Peters for many helpful discussions during their joint work [1]. This work was carried out while the two authors were at Columbia University. Both authors are grateful to the Columbia Mathematics Department for its hospitality. This work was supported by the China Scholarship Council (to Y.A.); the American Institute of Mathematics (Five-Year Fellowship to Y.N.); and the National Science Foundation (grant number DMS-0805807 to Y.N.).Attached Files
Submitted - 0809.0622.pdf
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Additional details
- Eprint ID
- 56823
- DOI
- 10.1093/imrn/rnp070
- Resolver ID
- CaltechAUTHORS:20150421-115851747
- China Scholarship Council
- AIM Five-Year Fellowship
- DMS-0805807
- NSF
- Created
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2015-04-22Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field