Abstract
Let K be a satellite ( 1 , 1 ) -knot in S 3 and T an essential torus in the exterior of K. Suppose that there is a closed orientable essential meridionally incompressible surface, say F. We show that F is always isotopic to the essential torus T. To this end, we study compact orientable essential surfaces in the exterior of non-trivial 2-bridge links. Moreover, we characterize ( 1 , 1 ) -splittings of ( 1 , 1 ) -knots containing F in their exterior by using the concept of the distance of ( 1 , 1 ) -splittings.
Sign-in/Register to access full text options 
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 callDisclaimer: 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.
