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

Fibered 3-manifolds and Veech groups

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classification math.GT
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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