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Virtual domination of $3$–manifolds

Hongbin Sun

Geometry & Topology 19 (2015) 2277–2328
Abstract

For any closed oriented hyperbolic 3–manifold M and any closed oriented 3–manifold N, we show that M admits a finite cover M such that there exists a degree-2 map f : M N, ie M virtually 2–dominates N.

Keywords
hyperbolic $3$–manifold, finite cover, degree-nonzero map
Mathematical Subject Classification 2010
Primary: 57M10
Secondary: 30F40, 57M50
References
Publication
Received: 16 February 2014
Revised: 15 June 2014
Accepted: 1 August 2014
Published: 29 July 2015
Proposed: Ian Agol
Seconded: Martin R Bridson, Dmitri Burago
Authors
Hongbin Sun
Department of Mathematics
University of California, Berkeley
751 Evans Hall
Berkeley, CA 94720
USA