Renaud Detcherry

activity

20182020

collaborators

5 papers

math.GT2020

Cosets of monodromies and quantum representations

Renaud Detcherry, Efstratia Kalfagianni

We use geometric methods to show that given any $3$ -manifold $M$ , and $g$ a sufficiently large integer, the mapping class group $Mod (Σ_{g, 1})$ contains a coset of an abeli…

math.GT2019

Infinite families of hyperbolic $3$ -manifolds with finite dimensional skein modules

Renaud Detcherry

The Kauffman bracket skein module $K (M)$ of a $3$ -manifold $M$ is the quotient of the $Q (A)$ -vector space spanned by isotopy classes of links in $M$ by the Kauffman relati…

math.GT2019

A diagrammatic approach to the AJ Conjecture

Renaud Detcherry, Stavros Garoufalidis

The AJ Conjecture relates a quantum invariant, a minimal order recursion for the colored Jones polynomial of a knot (known as the $A^$ polynomial), with a classical invariant,…

math.GT2018

Growth of quantum 6j-symbols and applications to the Volume Conjecture

Giulio Belletti, Renaud Detcherry, Efstratia Kalfagianni +1

We prove the Turaev-Viro invariants volume conjecture for a "universal" class of cusped hyperbolic 3-manifolds that produces all 3-manifolds with empty or toroidal boundary by Dehn…

math.GT2018

Growth of Turaev-Viro invariants and cabling

Renaud Detcherry

The Chen-Yang volume conjecture states that the growth rate of the Turaev-Viro invariants of a compact oriented $3$ -manifold determines its simplicial volume. In this paper we prov…

Cosets of monodromies and quantum representations

Infinite families of hyperbolic 3-manifolds with finite dimensional skein modules

A diagrammatic approach to the AJ Conjecture

Growth of quantum 6j-symbols and applications to the Volume Conjecture

Growth of Turaev-Viro invariants and cabling

Infinite families of hyperbolic $3$ -manifolds with finite dimensional skein modules