On coverings of figure eight knot surgeries

Mark Baker

Vol. 150 (1991), No. 2, 215–228

DOI: 10.2140/pjm.1991.150.215

Abstract

We show that over half of the Dehn surgeries on S³ along the figure eight knot K yield manifolds having finite covers with positive first Betti number by explicitly constructing these covers and exhibiting their homology.

Mathematical Subject Classification 2000

Primary: 57M10

Milestones

Received: 26 February 1990

Published: 1 October 1991