Add to ORKGIt is proved that the mapping class group of any closed surface with finitely many marked points is quasiisometric to a CAT(0) cube complex. We provide two distinct proofs, one tailored to mapping class groups, and one applying to a larger class of groups.Comment: v2: Improved exposition. 28 page
We construct finite-dimensional projective representations of the mapping class groups of compact co...
The mapping class group of an orientable surface with one boundary component, S, is isomorphic to a ...
12 pages. v2: introduction slightly rewritten, with added referencesWe exhibit a variety of groups t...
This thesis investigates mapping class groups of infinite-type surfaces, also called big mapping cla...
Abstract. Whenever the mapping class group of a closed orientable sur-face of genus g acts by semisi...
The balanced superelliptic mapping class group is the normalizer of the transformation group of the ...
Abstract. We prove that any group acting essentially without a fixed point at infinity on an irreduc...
We show that the pure mapping class group is uniformly perfect for a certain class of infinite type ...
We show that the pure mapping class group is uniformly perfect for a certain class of infinite type ...
We show that the pure mapping class group is uniformly perfect for a certain class of infinite type ...
These notes are based on my lecture at PCMI in July 2012. They are structured around two sets of res...
Abstract. We study the large scale geometry of mapping class groups MCG(S), using hyperbolicity prop...
7 pagesWe give a criterion to prove that some groups are not acylindrically hyperbolic. As an applic...
7 pagesWe give a criterion to prove that some groups are not acylindrically hyperbolic. As an applic...
7 pagesWe give a criterion to prove that some groups are not acylindrically hyperbolic. As an applic...
We construct finite-dimensional projective representations of the mapping class groups of compact co...
The mapping class group of an orientable surface with one boundary component, S, is isomorphic to a ...
12 pages. v2: introduction slightly rewritten, with added referencesWe exhibit a variety of groups t...
This thesis investigates mapping class groups of infinite-type surfaces, also called big mapping cla...
Abstract. Whenever the mapping class group of a closed orientable sur-face of genus g acts by semisi...
The balanced superelliptic mapping class group is the normalizer of the transformation group of the ...
Abstract. We prove that any group acting essentially without a fixed point at infinity on an irreduc...
We show that the pure mapping class group is uniformly perfect for a certain class of infinite type ...
We show that the pure mapping class group is uniformly perfect for a certain class of infinite type ...
We show that the pure mapping class group is uniformly perfect for a certain class of infinite type ...
These notes are based on my lecture at PCMI in July 2012. They are structured around two sets of res...
Abstract. We study the large scale geometry of mapping class groups MCG(S), using hyperbolicity prop...
7 pagesWe give a criterion to prove that some groups are not acylindrically hyperbolic. As an applic...
7 pagesWe give a criterion to prove that some groups are not acylindrically hyperbolic. As an applic...
7 pagesWe give a criterion to prove that some groups are not acylindrically hyperbolic. As an applic...
We construct finite-dimensional projective representations of the mapping class groups of compact co...
The mapping class group of an orientable surface with one boundary component, S, is isomorphic to a ...
12 pages. v2: introduction slightly rewritten, with added referencesWe exhibit a variety of groups t...