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

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math.GT2024

On torsion in the Kauffman bracket skein module of $3$ -manifolds

Giulio Belletti, Renaud Detcherry

We study Kirby problems 1.92(E)-(G), which, roughly speaking, ask for which compact oriented $3$ -manifold $M$ the Kauffman bracket skein module $S (M)$ has torsion as a $\…

math.GT2024

On kernels of homological representations of mapping class groups

Renaud Detcherry, Jules Martel

We study the kernels of representations of mapping class groups of surfaces on twisted homologies of configuration spaces. We relate them with the kernel of a natural twisted inter…

math.GT2024

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 torsion in the Kauffman bracket skein module of 3-manifolds

On kernels of homological representations of mapping class groups

Skein modules and character varieties of Seifert manifolds

On torsion in the Kauffman bracket skein module of $3$ -manifolds