4 papers
Volume Conjecture and quantum hyperbolic invariants: the figure eight knot complement
Stephane Baseilhac, Fathi Ben Aribi
We compute the real part of the semi-classical limit of the sequence of quantum hyperbolic invariants (QHI) of the figure-eight knot complement . We show that it is rigid, in th…
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…
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…
Multisections of higher-dimensional manifolds
Fathi Ben Aribi, Sylvain Courte, Marco Golla +1
Generalizing Heegaard splittings of 3-manifolds and trisections of 4-manifolds, we consider multisections of higher-dimensional smooth (or PL) closed orientable manifolds, namely d…