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.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.