Six-point configurations in the hyperbolic plane and ergodicity of the mapping class group
J Marché, M Wolff - Groups, Geometry, and Dynamics, 2019 - ems.press
Let X be the space of isometry classes of ordered sextuples of points in the hyperbolic plane
such that the product of the six corresponding rotations of angle is the identity. This space X …
such that the product of the six corresponding rotations of angle is the identity. This space X …
On the Torelli group action on compact character varieties
Y Bouilly - arXiv preprint arXiv:2001.08397, 2020 - arxiv.org
arXiv:2001.08397v1 [math.DS] 23 Jan 2020 Page 1 ON THE TORELLI GROUP ACTION ON
COMPACT CHARACTER VARIETIES YOHANN BOUILLY Abstract. The aim of this article is to …
COMPACT CHARACTER VARIETIES YOHANN BOUILLY Abstract. The aim of this article is to …
Six-point configurations in the hyperbolic plane and ergodicity of the mapping class group
J Marché, M Wolff - arXiv preprint arXiv:1509.02290, 2015 - arxiv.org
Let $ X $ be the space of isometry classes of ordered sextuples of points in the hyperbolic
plane such that the product of the six corresponding rotations of angle $\pi $ is the identity …
plane such that the product of the six corresponding rotations of angle $\pi $ is the identity …
Transitivity of normal subgroups of the mapping class groups on character varieties
J Marché, M Wolff - Groups, Geometry, and Dynamics, 2024 - ems.press
Transitivity of normal subgroups of the mapping class groups on character varieties Page 1
Groups Geom. Dyn. (Online first) DOI 10.4171/GGD/764 © 2024 European Mathematical …
Groups Geom. Dyn. (Online first) DOI 10.4171/GGD/764 © 2024 European Mathematical …
[PDF][PDF] Ergodicity of the mapping class group action on super-maximal representations
A Maret - arXiv preprint arXiv:2012.05775, 2020 - researchgate.net
This note investigates the dynamics of the mapping class group action on the character
variety of super-maximal representations of the fundamental group of a punctured sphere …
variety of super-maximal representations of the fundamental group of a punctured sphere …
Non-ergodicity on the SU (2)-character varieties
F Saadi - arXiv preprint arXiv:2404.00372, 2024 - arxiv.org
We describe the dynamics of a group $\Gamma $ generated by Dehn twists along two filling
multi-curves or a family of filling curves on the SU (2)-representation variety of closed …
multi-curves or a family of filling curves on the SU (2)-representation variety of closed …
Lifts of simple curves in finite regular coverings of closed surfaces
I Irmer - arXiv preprint arXiv:1508.04815, 2015 - arxiv.org
Suppose $ S $ is a closed orientable surface and $\tilde {S} $ is a finite sheeted regular
cover of $ S $. The following question was posed by Juli\'{e} n March\'{e} in Mathoverflow …
cover of $ S $. The following question was posed by Juli\'{e} n March\'{e} in Mathoverflow …
The symplectic geometry of surface group representations in genus zero
A Maret - 2022 - archiv.ub.uni-heidelberg.de
We study a compact family of totally elliptic representations of the fundamental group of a
punctured sphere into PSL (2, R), discovered by Deroin and Tholozan and named after …
punctured sphere into PSL (2, R), discovered by Deroin and Tholozan and named after …
Ergodicity of the mapping class group action on Deroin–Tholozan representations
A Maret - Groups, Geometry, and Dynamics, 2022 - ems.press
This note investigates the dynamics of the mapping class group action on compact
connected components of relative character varieties of surface group representations into …
connected components of relative character varieties of surface group representations into …
The parallelogram identity on groups and deformations of the trivial character in
J Marché, M Wolff - Journal de l'École polytechnique-Mathématiques, 2020 - numdam.org
We describe on any finitely generated group Γ the space of maps Γ→ C which satisfy the
parallelogram identity, f (xy)+ f (xy− 1)= 2f (x)+ 2f (y). It is known (but not wellknown) that …
parallelogram identity, f (xy)+ f (xy− 1)= 2f (x)+ 2f (y). It is known (but not wellknown) that …