Pseudo-Anosov extensions and degree one maps between hyperbolic surface bundles
| dc.creator | Boileau, Michel | |
| dc.creator | Ni, Yi | |
| dc.creator | Wang, Shicheng | |
| dc.date | 2005-09-26 | |
| dc.date.accessioned | 2026-07-07T06:19:10Z | |
| dc.date.available | 2026-07-07T06:19:10Z | |
| dc.description | Let $F',F$ be any two closed orientable surfaces of genus $g'>g\ge 1$, and $f:F\to F$ be any pseudo-Anosov map. Then we can "extend" $f$ to be a pseudo-Anosov map $f':F'\to F'$ so that there is a fiber preserving degree one map $M(F',f')\to M(F,f)$ 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. | |
| dc.description | 10 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/math/0509592 | |
| dc.identifier | http://arxiv.org/abs/math/0509592 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94985 | |
| dc.subject | Geometric Topology | |
| dc.subject | Dynamical Systems | |
| dc.subject | 57M50, 37E30 | |
| dc.title | Pseudo-Anosov extensions and degree one maps between hyperbolic surface bundles | |
| dc.type | text |