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math.GT2026
Thompson's Group and Virtual Link Theory
Micah Chrisman, Louisa Liles, Melody Molander
The paper defines a surjection from Thompson's group V to virtual equivalence classes of checkerboard‑colorable links in thickened surfaces, introduces an oriented subgroup \(\vec…
math.GT2024
A determinant formula of the Jones polynomial for a family of braids
Derya Asaner, Sanjay Kumar, Melody Molander +2
In 2012, Cohen, Dasbach, and Russell presented an algorithm to construct a weighted adjacency matrix for a given knot diagram. In the case of pretzel knots, it is shown that after…