Quantum Topology Seminar
Puttipong Pongtanapaisan
University of Saskatchewan
Graphoids
Abstract: We study invariants of virtual graphoids, which are virtual spatial graph diagrams with two distinguished degree-one vertices modulo graph Reidemeister moves
applied away from the distinguished vertices. Generalizing previously known results, we give topological interpretations of graphoids.
There are several applications to virtual graphoid theory. First, virtual graphoids are suitable objects for studying knotted graphs with open ends arising in proteins.
Second, a virtual graphoid can be thought of as a way to represent a virtual spatial graph without using as many crossings, which can be advantageous for computing invariants.
This talk is joint work with Neslihan Gugumcu and Louis H Kauffman.
https://arxiv.org/pdf/2209.09086.pdf
Thursday September 29, 2022 at 12:00 PM in Zoom