3 papers
math.GT2026
The Andersen-Kashaev volume conjecture for FAMED geometric triangulations
Fathi Ben Aribi, Ka Ho Wong
We investigate the Andersen-Kashaev volume conjecture by introducing the notion of FAMED triangulations, a class of ideal triangulations of -manifolds satisfying certain specifi…
math.GT2025
Asymptotics aspects of Teichmüller TQFT for generalized FAMED semi-geometric triangulations
Ka Ho Wong
We introduce a generalized FAMED property for ideal triangulations of hyperbolic knot complements in . Given a hyperbolic knot in and a semi-geomet…
math.GT2025
FAMED by computer: proving the Andersen-Kashaev volume conjecture for 42,000 knots
Fathi Ben Aribi, Antonin Guilloux, Ka Ho Wong
The FAMED condition is a combinatorial property for ideal triangulations of -manifolds, which was introduced in 2024 by the first and last authors in order to study the Andersen…