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math.GT2024
Twisted Yang-Baxter sets, cohomology theory, and application to knots
Mohamed Elhamdadi, Manpreet Singh
We introduce twisted set-theoretic Yang-Baxter solutions and develop an associated cohomology theory, which extends the standard cohomology theory of Yang-Baxter solutions. By empl…
math.GT2023
Bridging colorings of virtual links from virtual biquandles to biquandles
Mohamed Elhamdadi, Manpreet Singh
A biquandle is a solution to the set-theoretical Yang-Baxter equation, which yields invariants for virtual knots such as the coloring number and the state-sum invariant. A virtual…