3 papers
math.GT2024
Pointed quandles of linkoids
Neslihan Gügümcü, Runa Pflume
In this paper we define the fundamental quandle of knotoids and linkoids and prove that it is invariant under the under forbidden-move and hence encodes only the information of the…
math.GT2024
Mock Alexander Polynomials
Neslihan Gügümcü, Louis H. Kauffman
In this paper, we construct mock Alexander polynomials for starred links and linkoids in surfaces. These polynomials are defined as specific sums over states of link or linkoid dia…
math.GT2024
Biquandle Power Brackets
Neslihan Gügümcü, Sam Nelson
In this paper, we introduce biquandle power brackets, an infinite family of invariants of oriented links containing the classical skein invariants and the quandle and biquandle 2-c…