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Virtual domination of $3$-manifolds, III

Hongbin Sun

Algebraic & Geometric Topology 25 (2025) 1599–1666
DOI: 10.2140/agt.2025.25.1599
Abstract

We prove that for any oriented cusped hyperbolic 3-manifold M and any compact oriented 3-manifold N with tori boundary, there exists a finite cover M of M that admits a degree-8 map f : M N, ie M virtually 8-dominates N.

Keywords
hyperbolic $3$-manifolds, nonzero degree maps, good pants construction, quasi-isometric embedding
Mathematical Subject Classification
Primary: 57K32, 57M10
Secondary: 30F40
References
Publication
Received: 21 April 2023
Revised: 31 October 2023
Accepted: 5 December 2023
Published: 20 June 2025
Authors
Hongbin Sun
Department of Mathematics
Rutgers University
Piscataway, NJ
United States

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