Virtual domination of 3-manifolds, III

Sun, Hongbin¹

¹Department of Mathematics, Rutgers University, Piscataway, NJ, United States

Algebraic and Geometric Topology, Tome 25 (2025) no. 3, pp. 1599-1666

Résumé

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.

Détail

DOI : 10.2140/agt.2025.25.1599

Keywords: hyperbolic $3$-manifolds, nonzero degree maps, good pants construction, quasi-isometric embedding

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