3 citations · 7 across the 4 of their papers we have counts for
5 papers
Abstract commensurators of braid groups
Christopher J. Leininger, Dan Margalit
Let B_n be the braid group on n strands, with n at least 4, and let Mod(S) be the extended mapping class group of the sphere with n+1 punctures. We show that the abstract commensur…
Injections of Artin groups
Robert W. Bell, Dan Margalit
We study those Artin groups which, modulo their centers, are finite index subgroups of the mapping class group of a sphere with at least 5 punctures. In particular, we show that an…
Weil-Petersson isometries via the pants complex
Jeffrey Brock, Dan Margalit
We extend a theorem of Masur and Wolf which says that given a hyperbolic surface S, every isometry of the Teichmuller space for S with the Weil-Petersson metric is induced by an el…
Braid groups are almost co-Hopfian
Robert W. Bell, Dan Margalit
Let B_n be the braid group on n > 3 strands. We prove that B_n modulo its center is co-Hopfian. We then show that any injective endomorphism of B_n is geometric in the sense that i…
The automorphism group of the pants complex
Dan Margalit
We show that the automorphism group of the complex of pants decompositions for a surface is isomorphic to the mapping class group for that surface.