2 papers
math.GT2026
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…
math.GT2016
The -Alexander invariant is stronger than the genus and the simplicial volume
Fathi Ben Aribi
We study how the genus, the simplicial volume and the -Alexander invariant of W. Li and W. Zhang can detect individual knots among all others. In particular, we use various te…