Abstract
In this paper, we give a necessary condition for detecting (possibly punctured) closed incompressible meridionally incompressible surfaces in knot or link complements. This condition provides us a method to determine whether an arbitrary link is split or non-split based on the link diagram. We also prove that, up to isotopy, there only exist finitely many such surfaces in non-split prime almost alternating link complements. Finally, we demonstrate an application of the necessary condition by showing elementary by-hand proofs that some certain knots are small knots.
Full Text
Published Version
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