3 papers
math.AT2025
Biquandle Virtual Brackets and Virtual Knotoids
Neslihan Gügümcü, Hamdi Kayaslan
In this paper, we introduce invariants of virtual knotoids based on biquandles and biquandle virtual brackets. We show that one of these invariants, namely biquandle virtual bracke…
math.GT2024
The Mock Alexander Polynomial for Knotoids and Linkoids
Joanna A. Ellis-Monaghan, Neslihan Gügümcü, Louis H. Kauffman +1
The mock Alexander polynomial is an extension of the classical Alexander polynomial, defined and studied for (virtual) knots and knotoids by the second and third authors. In this p…
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…