Bounds for fixed points on Seifert manifolds

Bounds for fixed points on Seifert manifolds
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DOI:
10.1016/j.topol.2012.07.004
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发表时间:
2012-09
影响因子:
0.6
通讯作者:
Qiang Zhang
Qiang Zhang
中科院分区:
数学4区
文献类型:
--
作者:
Qiang Zhang

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本文考虑了具有双曲型轨道的紧致连通可定向Seifert流形的同胚,给出了一些关于不动点类的秩和指数的界。一个结果是不动点类的指数界。我们依赖于2-orbifolds同胚的分类和曲面上的相似界。
In this paper, we consider homeomorphisms of compact connected orientable Seifert manifolds with hyperbolic orbifolds, and give some bounds involving the rank and the index of fixed point classes. One consequence is an index bound for fixed point classes. We rely on the classification of 2-orbifolds homeomorphisms and the similar bounds on surfaces.