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20182026
most citedNon-semisimple quantum invariants and abelian classical shadows

1 citations · 1 across the 9 of their papers we have counts for

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math.GT2026

On the density and surjectivity of -Witten-Reshetikhin-Turaev quantum representations

Renaud Detcherry, Pierre Godfard, Ramanujan Santharoubane

In this paper, we establish several new fundamental properties of -quantum representations $ρ_{p,g,\underlineλ}\colon\mathrm{PMod} (Σ_{g,n})\longrightarrow \mathrm{…

math.GT2026

Embeddability between 3-manifolds is not stable

Giulio Belletti, Renaud Detcherry

We prove that given two compact oriented -manifolds and with satisfying only a mild hypothesis, there is a hyperbolic -manifold 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 and any pseudo-Anosov the matrix has infini…

math.GT2026

Small Seifert 3-manifolds with non-reduced -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 -character scheme $\mathca…

math.GT2025

An effective proof of finiteness for Kauffman bracket skein modules

Giulio Belletti, Renaud Detcherry

We prove a version of the finiteness conjecture for Kauffman bracket skein modules of -manifolds with boundary, which was introduced by the second author in \cite{Det21}. In par…

math.GT2025

Seifert cobordisms and the Chen-Yang volume conjecture

Renaud Detcherry, Efstratia Kalfagianni, Shashini Marasinghe

We study the large asymptotic behavior of the Turaev-Viro invariants of 3-manifolds with toroidal boundary, under the operation of gluing a Seifert…