Renaud Detcherry

activity

20122026

most citedInfinite families of hyperbolic

3

-manifolds with finite dimensional skein modules

9 citations · 24 across the 24 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.GT2023★ 1 cited

Non-semisimple quantum invariants and abelian classical shadows

Renaud Detcherry

Using the $U_{q}^{H} s l_{2}$ non-semisimple invariants of 3-manifolds at odd roots of unity, we construct maps on the Kauffman bracket skein module at roots of unity of order twice an odd…

math.GT2023

On the kernel of $SO (3)$ -Witten-Reshetikhin-Turaev quantum representations

Renaud Detcherry, Ramanujan Santharoubane

In this paper, we study the kernels of the $SO (3)$ -Witten-Reshetikhin-Turaev quantum representations $ρ_{p}$ of mapping class groups of closed orientable surfaces $Σ_{g}$ of g…

math.GT2023★ 4 cited

Kauffman bracket skein modules of small 3-manifolds

Renaud Detcherry, Efstratia Kalfagianni, Adam S. Sikora

The proof of Witten's finiteness conjecture established that the Kauffman bracket skein modules of closed $3$ -manifolds are finitely generated over $Q (A)$ . In this paper, w…

Non-semisimple quantum invariants and abelian classical shadows

On the kernel of SO(3)-Witten-Reshetikhin-Turaev quantum representations

Kauffman bracket skein modules of small 3-manifolds

On the kernel of $SO (3)$ -Witten-Reshetikhin-Turaev quantum representations