Asaf Hadari

activity

20082020

most citedEvery Infinite order mapping class has an infinite order action on the homology of some finite cover

7 citations · 12 across the 8 of their papers we have counts for

collaborators

11 papers

math.GT2020

Mapping class groups of surfaces of genus $\geq 3$ do not virtually surject to $Z$

Asaf Hadari

We prove a well known conjecture of Nikolai Ivanov which states that if $X$ is a surface of genus $\geq 3$ (with any number of punctures and boundary components), $Mod (X)$ is…

math.GT2019

Separating subgroups of mapping class groups in homological representations

Asaf Hadari

Let $Γ$ be either the mapping class group of a closed surface of genus $\geq 2$ , or the automorphism group of a free group of rank $\geq 3$ . Given any homological representation $ρ…

math.GT2018

Non virtually solvable subgroups of mapping class groups have non virtually solvable representations

Asaf Hadari

Let $Σ$ be a compact orientable surface of finite type with at least one boundary component. Let $Γ \leq Mod (Σ)$ be a non virtually solvable subgroup. We answer a question…

math.GT2017★ 5 cited

Homological eigenvalues of lifts of pseudo-Anosov mapping classes to finite covers

Asaf Hadari

Let $Σ$ be a compact orientable surface of finite type with at least one boundary component. Let $f \in Mod (Σ)$ be a pseudo Anosov mapping class. We prove a conjecture of…

math.GT2015★ 7 cited

Every Infinite order mapping class has an infinite order action on the homology of some finite cover

Asaf Hadari

We prove the following well known conjecture: let $Σ$ be an oriented surface of finite type whose fundamental group is a nonabelian free group. Let $ϕ \in Mod (Σ)$ be a an i…

math.GT2014

The spectra of polynomial equations with varying exponents

Asaf Hadari

We study the dependence of solutions of equations of the form $a_{0} + a_{1} z^{ℓ_{1}} + ... + a_{m} z^{ℓ_{m}} = 0$ , on the exponents $ℓ_{1}, ..., ℓ_{m}$ . We apply our results to equ…

math.GR2013

Homological shadows of attracting laminations

Asaf Hadari

Given a free group $F_{n}$ , a fully irreducible automorphism $f \in \aut$, and a generic element $x \in F_{n}$ , the elements $f^{k} (x)$ converge in the appropriate sense to an object cal…

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…

math.GT2010

Simple closed curves, word length, and nilpotent quotients of free groups

Khalid Bou Rabee, Asaf Hadari

We consider the fundamental group $π$ of a surface of finite type equipped with the infinite generating set consisting of all simple closed curves. We show that every nilpotent quo…

math.DS2010

Translation Surfaces With Finite Veech Groups

Asaf Hadari

We prove that every finite subgroup of $G L_{2} (R)$ can be realized as the Veech group of some translation surface.

math.DS2008

Algebraic Entropy and the Action of Mapping Class Groups on Character Varieties

Asaf Hadari

We extend the definition of algebraic entropy to endomorphisms of affine varieties. We calculate algebraic entropy of the action of elements of mapping class groups on various char…

Mapping class groups of surfaces of genus ≥3 do not virtually surject to Z

Separating subgroups of mapping class groups in homological representations

Non virtually solvable subgroups of mapping class groups have non virtually solvable representations

Homological eigenvalues of lifts of pseudo-Anosov mapping classes to finite covers

Every Infinite order mapping class has an infinite order action on the homology of some finite cover

The spectra of polynomial equations with varying exponents

Homological shadows of attracting laminations

Linear representations of Aut(F_r) on the homology of representation varieties

Simple closed curves, word length, and nilpotent quotients of free groups

Translation Surfaces With Finite Veech Groups

Algebraic Entropy and the Action of Mapping Class Groups on Character Varieties

Mapping class groups of surfaces of genus $\geq 3$ do not virtually surject to $Z$