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Counting immersed surfaces in hyperbolic 3-manifolds

Joseph D. Masters
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Abstract

We count the number of conjugacy classes of maximal, genus g, surface subroups in hyperbolic 3-manifold groups. For any closed hyperbolic 3-manifold, we show that there is an upper bound on this number which grows factorially with g. We also give a class of closed hyperbolic 3-manifolds for which there is a lower bound of the same type.

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Joseph D. Masters. 2005-08-18. Counting immersed surfaces in hyperbolic 3-manifolds. https://doi.org/10.2140/agt.2005.5.835

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