Renaud Detcherry

collaborators

10 papers

math.GT2026

On the density and surjectivity of $SO (3)$ -Witten-Reshetikhin-Turaev quantum representations

Renaud Detcherry, Pierre Godfard, Ramanujan Santharoubane

In this paper, we establish several new fundamental properties of $SO (3)$ -quantum representations $Ï_{p,g,\underlineÎ»}\colon\mathrm{PMod} (Î£_{g,n})\longrightarrow \math…

math.GT2026

A universal non-embedding theorem for 3-manifolds

Giulio Belletti, Renaud Detcherry

We prove that given two compact oriented $3$ -manifolds $N$ and $M,$ with $M$ satisfying only a mild hypothesis, there is a hyperbolic $3$ -manifold $N^{'}$ arbitrarily ``closely relate…

math.GT2026

The Andersen-Masbaum-Ueno conjecture for the derived subgroup of the Johnson kernel

Renaud Detcherry

A conjecture of Andersen, Masbaum and Ueno states that for any compact oriented surface $I^£_{g, n}$ and any pseudo-Anosov $f \in Mod (I^£_{g, n}),$ the matrix $I ¨ _{r} (f)$ has inf…

math.GT2026

Small Seifert 3-manifolds with non-reduced $SL_{2} (C)$ -character scheme

Renaud Detcherry

We complete the work started in previous work of the author and Kalfagianni and Sikora, and give a complete description of the $SL_{2} (C)$ -character scheme $\mathca…

math.GT2025

Pants complex, TQFT and hyperbolic geometry

Renaud Detcherry, Efstratia Kalfagianni

We introduce a coarse perspective on relations of the $S U (2)$ -Witten-Reshetikhin-Turaev TQFT, the Weil-Petersson geometry of the TeichmÃ¼ller space, and volumes of hyperbolic 3-man…

math.GT2025

Skein modules and character varieties of Seifert manifolds

Renaud Detcherry, Efstratia Kalfagianni, Adam S. Sikora

We show that the Kauffman bracket skein module of a closed Seifert fibered 3-manifold $M$ is finitely generated over $Z [A^{\pm 1}]$ if and only if $M$ is irreducible and no…

On the density and surjectivity of SO(3)-Witten-Reshetikhin-Turaev quantum representations

A universal non-embedding theorem for 3-manifolds

The Andersen-Masbaum-Ueno conjecture for the derived subgroup of the Johnson kernel

Small Seifert 3-manifolds with non-reduced SL2​(C)-character scheme

Pants complex, TQFT and hyperbolic geometry

Skein modules and character varieties of Seifert manifolds

On the density and surjectivity of $SO (3)$ -Witten-Reshetikhin-Turaev quantum representations

Small Seifert 3-manifolds with non-reduced $SL_{2} (C)$ -character scheme