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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…
math.GT2024
The (twisted/)-Alexander polynomial of ideally triangulated 3-manifolds
Stavros Garoufalidis, Seokbeom Yoon
We establish a connection between the Alexander polynomial of a knot and its twisted and -versions with the triangulations that appear in 3-dimensional hyperbolic geometry. Sp…