Determining hyperbolic 3-manifolds by their surfaces

D. B. McReynolds; A. W. Reid

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arXiv · 1511.00222

Determining hyperbolic 3-manifolds by their surfaces

D. B. McReynolds·A. W. Reid

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Abstract

In this article, we prove that the commensurability class of a closed, orientable, hyperbolic 3-manifold is determined by the surface subgroups of its fundamental group. Moreover, we prove that there can be only finitely many closed, orientable, hyperbolic 3-manifolds that have the same set of surfaces.

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BibTeX RIS

D. B. McReynolds, A. W. Reid. 2018-05-15. Determining hyperbolic 3-manifolds by their surfaces. https://arxiv.org/abs/1511.00222

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