Virtual domination of 3–manifolds

Sun, Hongbin

doi:10.2140/gt.2015.19.2277

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Virtual domination of $3$–manifolds

Hongbin Sun

Geometry & Topology 19 (2015) 2277–2328

DOI: 10.2140/gt.2015.19.2277

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 $f : M^{'} \to N$ , 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

Volume 19, issue 4 (2015)