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math.GT2026
Knots with large character varieties
Philip Choi, Joan Porti, Seokbeom Yoon
We study knots whose -character varieties have a component of dimension greater than one. We call such knots -large and introduce two diagra…
math.GT2025
Reidemeister torsion of two-bridge knots and signatures of TQFT
Julien Marché, Seokbeom Yoon
We establish an explicit relation between the adjoint Reidemeister torsion of the two-bridge knot at any parabolic representation and the Frobenius algebra governing the s…
math.GT2021
The twisted 1-loop invariant and the Jacobian of Ptolemy coordinates
Seokbeom Yoon
We present an alternative definition of the twisted 1-loop invariant in terms of the Jacobian of Ptolemy coordinates. As an application, we prove that the twisted 1-loop invariant…