Abstract

In this paper, we construct infinite families of knots in <TEX>$S^3$</TEX> which admit Dehn surgery producing a Seifert-fibered space over <TEX>$S^2$</TEX> with four exceptional fibers. Also we show that these knots are turned out to be satellite knots, which supports the conjecture that no hyperbolic knot in <TEX>$S^3$</TEX> admits a Seifert-fibered space over <TEX>$S^2$</TEX> with four exceptional fibers as Dehn surgery.

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.