Julien March'e

activity

20162018

collaborators

3 papers

math.GT2018

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…

math.GT2017

Distribution of Chern-Simons invariants

Julien Marché

Let $M$ be a 3-manifold with a finite set $X (M)$ of conjugacy classes of representations $ρ : π_{1} (M) \to$ SU $_{2}$ . We study here the distribution of the values of the Chern-Simons funct…

math.GT2016

Asymptotics of quantum representations of surface groups

Julien Marché, Ramanujan Santharoubane

For a banded link $L$ in a surface times a circle, the Witten-Reshetikhin-Turaev invariants are topological invariants depending on a sequence of complex $2 p$ -th roots of unity $(A…