Pseudo-Anosov extensions and degree one maps between hyperbolic surface bundles

Michel Boileau; Yi Ni; Shicheng Wang

Pseudo-Anosov extensions and degree one maps between hyperbolic surface bundles

几何拓扑 2007-05-23 v1 动力系统

作者: Michel Boileau , Yi Ni , Shicheng Wang

摘要

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.

引用

@article{arxiv.math/0509592,
  title  = {Pseudo-Anosov extensions and degree one maps between hyperbolic surface bundles},
  author = {Michel Boileau and Yi Ni and Shicheng Wang},
  journal= {arXiv preprint arXiv:math/0509592},
  year   = {2007}
}

备注

10 pages, 3 figures

Pseudo-Anosov extensions and degree one maps between hyperbolic surface bundles

摘要

引用

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