Zobrazeno 1 - 10
of 177
pro vyhledávání: '"Bestvina , Mladen"'
To an $\mathbb{R}$-tree in the boundary of Outer space, we associate two simplices: the simplex of projective length measures, and the simplex of projective dual currents. For both kinds of simplices, we estimate the dimension of maximal simplices fo
Externí odkaz:
http://arxiv.org/abs/2409.15591
Let $\Phi$ be a pseudo-Anosov diffeomorphism of a compact (possibly non-orientable) surface $\Sigma$ with one boundary component. We show that if $b \in \pi_1(\Sigma)$ is the boundary word, $\phi \in {\rm{Aut}}(\pi_1(\Sigma))$ is a representative of
Externí odkaz:
http://arxiv.org/abs/2312.03535
Autor:
Bestvina, Mladen, Bridson, Martin R
We establish the following non-abelian analogue of the Fundamental Theorem of Projective Geometry: the natural map from ${\rm{Aut}}(F_n)$ to the automorphism group of the free-factor complex $\mathcal{AF}_n$ is an isomorphism. We also prove the corre
Externí odkaz:
http://arxiv.org/abs/2306.05941
We introduce and study tame homeomorphisms of surfaces of infinite type. These are maps for which curves under iterations do not accumulate onto geodesic laminations with non-proper leaves, but rather just a union of possibly intersecting curves or p
Externí odkaz:
http://arxiv.org/abs/2303.12413
We study the cone of transverse measures to a fixed geodesic lamination on an infinite type hyperbolic surface. Under simple hypotheses on the metric, we give an explicit description of this cone as an inverse limit of finite-dimensional cones. We st
Externí odkaz:
http://arxiv.org/abs/2209.00164
We construct an unfolding path in Outer space which does not converge in the boundary, and instead it accumulates on the entire 1-simplex of projectivized length measures on a non-geometric arational $\mathbb{R}$-tree T. We also show that T admits ex
Externí odkaz:
http://arxiv.org/abs/2207.06992
Autor:
Bestvina, Mladen
This is a (very subjective) survey paper for nonspecialists covering group actions on Gromov hyperbolic spaces. The first section is about hyperbolic groups themselves, while the rest of the paper focuses on mapping class groups and $Out(F_n)$, and t
Externí odkaz:
http://arxiv.org/abs/2206.12916
Autor:
Algom-Kfir, Yael, Bestvina, Mladen
For a locally finite connected graph $X$ we consider the group $Maps(X)$ of proper homotopy equivalences of $X$. We show that it has a natural Polish group topology, and we propose these groups as an analog of big mapping class groups. We prove the N
Externí odkaz:
http://arxiv.org/abs/2109.06908
We prove the Farrell-Jones Conjecture for mapping tori of automorphisms of virtually torsion-free hyperbolic groups. The proof uses recently developed geometric methods for establishing the Farrell-Jones Conjecture by Bartels-L\"{u}ck-Reich, as well
Externí odkaz:
http://arxiv.org/abs/2105.13291
We show that in large enough rank, the Gromov boundary of the free factor complex is path connected and locally path connected.
Comment: 48 pages, 7 figures; fixed an issue in the proof of Theorem 1.1
Comment: 48 pages, 7 figures; fixed an issue in the proof of Theorem 1.1
Externí odkaz:
http://arxiv.org/abs/2105.01537