Published August 2007
| Version Submitted
Journal Article
Open
Pseudo-Anosov extensions and degree one maps between hyperbolic surface bundles
Creators
Abstract
Let F′,F be any two closed orientable surfaces of genus g′ > g≥ 1, and f:F→ F be any pseudo-Anosov map. Then we can "extend" f to be a pseudo- Anosov map f′:F′→ F′ so that there is a fiber preserving degree one map M(F′,f′)→ M(F,f) between the hyperbolic surface bundles. Moreover the extension f′ can be chosen so that the surface bundles M(F′,f′) and M(F,f) have the same first Betti numbers.
Additional Information
© 2007 Springer-Verlag. Received: 9 August 2006; accepted: 15 November 2006; published online: 22 February 2007. We are grateful to Dr. Hao Zheng for drawing the figures in this paper. Boileau and Wang wish to thank Prof. D. Gabai and Prof. G. Mess for helpful conversations. Y. Ni joined this project when he was a graduate student at Peking University. The paper was finished when Ni visited Peking University.Attached Files
Submitted - 0509592v1.pdf
Files
0509592v1.pdf
Files
(199.3 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:56c60da127659a6139a103941f1a2420
|
199.3 kB | Preview Download |
Additional details
Identifiers
- Eprint ID
- 56805
- Resolver ID
- CaltechAUTHORS:20150421-093641890
Related works
- Describes
- http://arxiv.org/abs/math/0509592 (URL)
- 10.1007/s00209-015-1427-6 (DOI)
Dates
- Created
-
2015-04-21Created from EPrint's datestamp field
- Updated
-
2023-06-01Created from EPrint's last_modified field