On equivariant embeddings of hyperbolic surfaces into hyperbolic 3-manifolds

Bruno P. Zimmermann

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arXiv · 2403.06849

On equivariant embeddings of hyperbolic surfaces into hyperbolic 3-manifolds

Bruno P. Zimmermann

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Abstract

We consider the problem of when a closed hyperbolic surface admits a totally geodesic embedding into a closed hyperbolic 3-manifold, and in particular equivariant versions of such embeddings. In a previous paper we considered orientation-preserving actions on orientable surfaces; in the present paper, we consider large orientation-reversing actions on orientable surfaces, and also large actions on nonorientable surfaces.

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Bruno P. Zimmermann. 2024-03-11. On equivariant embeddings of hyperbolic surfaces into hyperbolic 3-manifolds. https://arxiv.org/abs/2403.06849

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