Vol. 267, No. 2, 2014

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Nonfibered L-space knots

Tye Lidman and Liam Watson

Vol. 267 (2014), No. 2, 423–429
Abstract

We construct an infinite family of knots in rational homology spheres with irreducible, nonfibered complements, for which every nonlongitudinal filling is an L-space.

Keywords
Heegaard Floer homology, L-space, fibration
Mathematical Subject Classification 2010
Primary: 57M27
Milestones
Received: 30 September 2012
Revised: 16 September 2013
Accepted: 23 September 2013
Published: 11 May 2014
Authors
Tye Lidman
Department of Mathematics
University of Texas at Austin
1 University Station
Austin, TX 78712
United States
Liam Watson
School of Mathematics and Statistics
University of Glasgow
15 University Gardens
Glasgow, G12 8QW
United Kingdom