论文标题

纤维纤维3个manifolds和Veech组

Fibered 3-manifolds and Veech groups

论文作者

Leininger, Christopher J., Rafi, Kasra, Rouse, Nicholas, Shinkle, Emily, Verberne, Yvon

论文摘要

我们研究了与纤维伪anosov单粒和固定双曲线3型含量的叶子相关的veech组。假设莱默的猜想,我们证明与纤维相关的Veech组通常不包含抛物线元素。对于叶子,我们证明Veech群体始终是基本的。

We study Veech groups associated to the pseudo-Anosov monodromies of fibers and foliations of a fixed hyperbolic 3-manifold. Assuming Lehmer's Conjecture, we prove that the Veech groups associated to fibers generically contain no parabolic elements. For foliations, we prove that the Veech groups are always elementary.

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