3 papers
math.DS2025
Tykhyy's Conjecture on finite mapping class group orbits
Samuel Bronstein, Arnaud Maret
We classify the finite orbits of the mapping class group action on the character variety of Deroin--Tholozan representations of punctured spheres. In particular, we prove that the…
math.DG2025
Dominating manifolds by radial spaces
Samuel Bronstein
This paper is devoted to a kind of rearrangement of functions on CD(k,n)-spaces, which satisfy a Polya-Szegö type inequality. We use this rearrangement to prove the validity of a…
math.GT2025
Anosov deformations of Barbot representations
Samuel Bronstein, Colin Davalo
We construct for each conformal structure on a closed orientable surface of genus at least 2 a proper slice in the character variety of representations of the associated surface gr…