5 papers · 1 filter
Transitivity of normal subgroups of the mapping class group on character varieties
Julien Marché, Maxime Wolff
We prove that the action of any non-trivial normal subgroup of the mapping class group of a surface of genus is almost minimal on the character variety $X(π_1Σ_g,{\r…
Overcommuting pairs in groups and 3-manifolds bounding them
Livio Liechti, Julien Marché
We introduce the notions of overcommutation and overcommutation length in groups, and show that these concepts are closely related to representations of the fundamental groups of 3…
Introduction to quantum representations of mapping class groups
Julien Marché
We provide an (almost) self-contained construction of the Witten-Reshetikhin-Turaev representations of the mapping class group. We describe its properties including its Hermitian s…
Distribution of Chern-Simons invariants
Julien Marché
Let be a 3-manifold with a finite set of conjugacy classes of representations SU. We study here the distribution of the values of the Chern-Simons funct…
Asymptotics of quantum representations of surface groups
Julien Marché, Ramanujan Santharoubane
For a banded link in a surface times a circle, the Witten-Reshetikhin-Turaev invariants are topological invariants depending on a sequence of complex -th roots of unity $(A…