Affiliation:
1. Department of Mathematics University of British Columbia Vancouver Canada
2. Department of Mathematics University of Texas at Austin Austin, Texas USA
Abstract
AbstractWe show that for the pretzel knots , the ‐fold cyclic‐branched covers are L‐spaces for all . In addition, we show that the knots with are quasi‐positive and slice, answering a question of Boileau–Boyer–Gordon. We also extend results of Teragaito giving examples of two‐bridge knots with all L‐space cyclic‐branched covers to a family of two‐bridge links.
Funder
National Science Foundation
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