1 citations · 1 across the 5 of their papers we have counts for
7 papers
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…
Fuglede-Kadison determinants over free groups and Lehmer's constants
Fathi Ben Aribi
Lehmer's famous problem asks whether the set of Mahler measures of polynomials with integer coefficients admits a gap at 1. In 2019, Lück extended this question to Fuglede-Kadison…
The Chen-Yang volume conjecture for knots in handlebodies
Fathi Ben Aribi, James Gosselet
In 2015, Chen and Yang proposed a volume conjecture that stated that certain Turaev-Viro invariants of an hyperbolic 3-manifold should grow exponentially with a rate equal to the h…
Link invariants from -Burau maps of braids
Fathi Ben Aribi
A previous work of A. Conway and the author introduced -Burau maps of braids, which are generalizations of the Burau representation whose coefficients live in a more general g…
Geometric triangulations and the Teichmüller TQFT volume conjecture for twist knots
Fathi Ben Aribi, François Guéritaud, Eiichi Piguet-Nakazawa
We construct a new infinite family of ideal triangulations and H-triangulations for the complements of twist knots, using a method originating from Thurston. These triangulations p…
The leading coefficient of the -Alexander torsion
Fathi Ben Aribi, Stefan Friedl, Gerrit Herrmann
We give upper and lower bounds on the leading coefficients of the -Alexander torsions of a -manifold in terms of hyperbolic volumes and of relative -torsions of su…