13 citations · 20 across the 10 of their papers we have counts for
15 papers
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…
Valuations on the character variety: Newton polytopes and Residual Poisson Bracket
Julien Marché, Christopher-Lloyd Simon
We study the space of measured laminations ML on a closed surface from the valuative point of view. We introduce and study a notion of Newton polytope for an algebraic function on…
Automorphisms of character varieties
Julien Marché, Christopher-Lloyd Simon
We show that the algebraic automorphism group of the SL(2,C) character variety of a closed orientable surface with negative Euler characteristic is a finite extension of its mappin…
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…
The parallelogram identity on groups and deformations of the trivial character in SL_2(C)
Julien Marché, Maxime Wolff
We describe on any finitely generated group G the space of maps G->C which satisfy the parallelogram identity, f(xy)+f(xy^{-1})=2f(x)+2f(y). It is known (but not well-known) that t…