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arxiv: 1012.2828 · v1 · pith:ZWSHAI3Ynew · submitted 2010-12-13 · 🧮 math.GT

Counting Essential Surfaces in a Closed Hyperbolic 3-Manifold

classification 🧮 math.GT
keywords closedhyperbolicmanifoldcountingessentialfundamentalgenusgroup
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Let M be a closed hyperbolic 3-manifold. We show that the number of genus g surface subgroups of the fundamental group of M grows like g^{2g}.

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