Counting cusped hyperbolic 3-manifolds that bound geometrically

Kolpakov, Alexander; Riolo, Stefano

doi:10.1090/tran/7883

Counting cusped hyperbolic 3-manifolds that bound geometrically
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by Alexander Kolpakov and Stefano Riolo PDF

Trans. Amer. Math. Soc. 373 (2020), 229-247

Abstract:

We show that the number of isometry classes of cusped hyperbolic $3$-manifolds that bound geometrically grows at least super-exponentially with their volume, both in the arithmetic and non-arithmetic settings.

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