Universal links for S²×S¹

Víctor Núñez

Vol. 182 (1998), No. 1, 55–68

DOI: 10.2140/pjm.1998.182.55

Abstract

There exists a five component link U ⊂ S² × S¹ such that every closed, connected, orientable 3-manifold M with H¹(M) ≠0 is a branched covering over S² × S¹ with branching set exactly the link U.

There exists a five component link U ⊂ S² ⊗S¹ such that every closed, connected, non-orientable 3-manifold M with the Bockstein of the first Stiefel-Whitney class, βw₁(M) = 0, is a branched covering over S² ⊗ S¹ branched along the link U.

Milestones

Received: 14 February 1996

Revised: 6 January 1997

Published: 1 January 1998