3 papers
math.GT2026
Computations of parabolic character schemes of knots
Yunhi Cho, Hyuk Kim, Seonhwa Kim +1
We compute parabolic -character schemes of knots using the parabolic quandle. To this end, we introduce sign-refined arc-colorings and show that their si…
math.GT2024
1-loop equals torsion for fibered 3-manifolds
Nathan M. Dunfield, Stavros Garoufalidis, Seokbeom Yoon
In earlier work of two of the authors, two 1-loop polynomial invariants of cusped 3-manifolds were constructed using combinatorial data of ideal triangulations, and conjectured to…
math.GT2024
1-loop equals torsion for two-bridge knots
Stavros Garoufalidis, Seokbeom Yoon
Motivated by the conjectured asymptotics of the Kashaev invariant, Dimofte and the first author introduced a power series associated to a suitable ideal triangulation of a cusped h…