Abstract

Every prism manifold can be parametrized by a pair of relatively prime integers p > 1 $p>1$ and q $q$ . In our earlier papers, we determined a complete list of prism manifolds P ( p , q ) $P(p, q)$ that can be realized by positive integral surgeries on knots in S 3 $S^3$ when q < 0 $q<0$ or q > p $q>p$ ; in the present work, we solve the case when 0 < q < p $0<q<p$ . This completes the solution of the realization problem for prism manifolds.

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.