Fibered 3-manifolds and Veech groups

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

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Fibered 3-manifolds and Veech groups

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arxiv 2212.13320 v3 pith:VIT74UQK submitted 2022-12-26 math.GT

Christopher J. Leininger , Kasra Rafi , Nicholas Rouse , Emily Shinkle , Yvon Verberne This is my paper

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keywords groupsveechassociatedfibersfoliationsprovealwaysassuming

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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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