Abstract
In this paper, we show that the dual [Formula: see text]-diagram of a [Formula: see text]-diagram (a.k.a. a two-pointed genus one Heegaard diagram) [Formula: see text] with [Formula: see text] and [Formula: see text] is given by [Formula: see text] where [Formula: see text] is the multiplicative inverse of [Formula: see text] modulo [Formula: see text] with [Formula: see text]. We also present explicitly how to derive a Schubert normal form of a [Formula: see text]-bridge knot from the dual [Formula: see text]-diagram of [Formula: see text] using weakly K-reducibility of [Formula: see text]-decompositions. This gives an alternative proof of Grasselli and Mulazzani’s result asserting that [Formula: see text] is a [Formula: see text]-diagram of the [Formula: see text]-bridge knot with a Schubert normal form [Formula: see text].
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.
