Counting cusped hyperbolic 3-manifolds that bound geometrically

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.

17 pages, 7 figures; to appear in Transactions AMS

References in corpus (4)

• Embedding arithmetic hyperbolic manifolds
• The complement of the figure-eight knot geometrically bounds
• Hyperbolic Dehn filling in dimension four
• Counting cusped hyperbolic 3-manifolds that bound geometrically

Cited by in corpus (1)

• Counting cusped hyperbolic 3-manifolds that bound geometrically