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math.GT2026
Thompson's Group and Virtual Link Theory
Micah Chrisman, Louisa Liles, Melody Molander
Thompson's groups were introduced in 1965 and have since found widespread application in fields as diverse as logic, group theory, homotopy theory, and latt…
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…