The geometry of right angled Artin subgroups of mapping class groups
By Matt Clay, Christopher J. Leininger, Johanna Mangahas. 2010
78 citations recorded by the source corpus.
We describe sufficient conditions which guarantee that a finite set of mapping classes generate a right-angled Artin group quasi-isometrically embedded in the mapping class group. Moreover, under these conditions, the orbit map to Teichmuller space is a quasi-isometric embedding for both of the standard metrics. As a consequence, we produce infinitely many genus h surfaces (for any h at least 2) in the moduli space of genus g surfaces (for any g at least 3) for which the universal covers are quasi-isometrically embedded in the Teichmuller space.
View Paper: https://www.semanticscholar.org/paper/e9a1018923c056800d5e816f8fb685e7339420a4
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
Citations in the corpus
- A recipe for short-word pseudo-Anosovs (2010, background): “The paper [CLM10] can be seen as expanding the methods here to prove that certain sets of mapping classes have powers that generate right-angled Artin groups, which generalize free groups.”
- Boundaries and automorphisms of hierarchically hyperbolic spaces (2016, methodology): “s satisfy this definition by Theorem 5.19. Perhaps the next best candidates for geometrically finite subgroups of MCGpSq are the various right-angled Artin groups constructed by Clay-Leininger-Mangahas [CLM12] and BOUNDARIES OF HHS 8 Koberda [Kob12]. These subgroups are HHGs and the former are even kn”