4 papers · 1 filter
A relation between the Baseilhac-Benedetti and the Bonahon-Liu-Wong-Yang invariants
Stavros Garoufalidis, Tao Yu
Baseilhac-Benedetti, following ideas of Kashaev, introduced invariants of pseudo-Anosov homeomorphisms of punctured hyperbolic surfaces that depend on a complex root of unity of od…
On the Bonahon--Wong--Yang invariants of pseudo-Anosov maps
Stavros Garoufalidis, Tao Yu
We conjecture (and prove for once-punctured torus bundles) that the Bonahon--Wong--Yang invariants of pseudo-Anosov homeomorphisms of a punctured surface at roots of unity coincide…
The 3d-index of the 3d-skein module via the quantum trace map
Stavros Garoufalidis, Tao Yu
We define a map from the skein module of a cusped hyperbolic 3-manifold to the ring of Laurent series in one variable with integer coefficients that satisfies two properties: its e…
A Quantum trace map for 3-manifolds
Stavros Garoufalidis, Tao Yu
We define a quantum trace map from the skein module of a 3-manifold with torus boundary components to a module (left and right quotient of a quantum torus) constructed from an idea…