Counting cusped hyperbolic 3-manifolds that bound geometrically

Autor:	Alexander Kolpakov, Stefano Riolo
Přispěvatelé:	Kolpakov A., Riolo S.
Rok vydání:	2018
Předmět:	Computer Science::Machine Learning Mathematics - Differential Geometry Pure mathematics General Mathematics Hyperbolic geometry MathematicsofComputing_GENERAL Group Theory (math.GR) Isometry (Riemannian geometry) Computer Science::Digital Libraries 01 natural sciences Statistics::Machine Learning 4-manifold Mathematics - Geometric Topology Mathematics - Metric Geometry FOS: Mathematics Geometric boundary 0101 mathematics 3-manifold Mathematics Applied Mathematics 010102 general mathematics Cobordism Geometric Topology (math.GT) Metric Geometry (math.MG) Mathematics::Geometric Topology Differential Geometry (math.DG) 57R90 57M50 20F55 37F20 Computer Science::Mathematical Software Computer Science::Programming Languages Mathematics - Group Theory Volume (compression)
DOI:	10.48550/arxiv.1808.05681
Popis:	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. Comment: 17 pages, 7 figures; to appear in Transactions AMS
Databáze:	OpenAIRE
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