|
Organizers |
Quandle invariants via bridge trisections
by
Jason Joseph
University of Georgia
Quandle cocycle invariants have been used by Carter, Jelsovsky, Kamada, Langford, Saito, Satoh, and others to detect properties of surface knots such as triple point number, reversibility, and ribbon concordance. In 2016 Meier and Zupan introduced bridge trisections, a new way to look at knotted surfaces. Here the data of the surface is expressed by three 1-dimensional tangles. In this talk I will show how to compute the quandle 3-cocycle and 2-cocycle surface invariants directly from the tangles of a bridge trisection diagram. In the process, I will show how to obtain a broken surface diagram from a bridge trisection diagram and how to compute the peripheral subgroup.
Date received: November 28, 2018
Copyright © 2018 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbpq-19.