4 papers
math.GT2020
Mapping class groups of surfaces of genus do not virtually surject to
Asaf Hadari
We prove a well known conjecture of Nikolai Ivanov which states that if is a surface of genus (with any number of punctures and boundary components), is…
math.GT2019
Separating subgroups of mapping class groups in homological representations
Asaf Hadari
Let be either the mapping class group of a closed surface of genus , or the automorphism group of a free group of rank . Given any homological representation $ρ…
math.GT2018
Non virtually solvable subgroups of mapping class groups have non virtually solvable representations
Asaf Hadari
Let be a compact orientable surface of finite type with at least one boundary component. Let be a non virtually solvable subgroup. We answer a question…
math.GR2012
Linear representations of Aut(F_r) on the homology of representation varieties
Yael Algom-Kfir, Asaf Hadari
Let G be a compact semisimple linear Lie group. We study the action of Aut(F_r) on the space H_*(G^r;\QQ). We compute the image of this representation and prove that it only depend…