4 papers
Chromatic symmetric functions for annular webs
Jaeseong Oh, Seokbeom Yoon
We introduce a combinatorial definition of chromatic symmetric functions for annular webs. We prove their symmetry by constructing a web analogue of the Shareshian--Wachs involutio…
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…
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…
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…