论文标题

普通纤维3型脉络膜组的伪anosov子组

Pseudo-Anosov subgroups of general fibered 3-manifold groups

论文作者

Leininger, Christopher J., Russell, Jacob

论文摘要

我们表明,有限生成的,纯粹的伪anosov亚组亚组,具有可还原的单型纤维的3个manifolds是通过Birman精确序列作为映射类组的亚组的凸Cocompact。结合了dowdall-kent--莱宁格和肯特 - 莱林格 - 雪莉的结果,这为映射类组中所有此类纤维3个manifold组的图像确定了结果。

We show that finitely generated and purely pseudo-Anosov subgroups of fibered 3-manifolds with reducible monodromy are convex cocompact as subgroups of the mapping class group via the Birman exact sequence. Combined with results of Dowdall--Kent--Leininger and Kent--Leininger--Schleimer, this establishes the result for the image of all such fibered 3-manifold groups in the mapping class group.

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