70 citations · 480 across the 69 of their papers we have counts for
34 papers · 1 filter
CaTherine wheels
Danny Calegari, Ino Loukidou
A CaTherine wheel is a surjective continuous map such that for every closed interval the image is homeomorphic to a disk, and …
Normal subgroups of big mapping class groups
Danny Calegari, Lvzhou Chen
Let S be a surface and let Mod(S,K) be the mapping class group of S permuting a Cantor subset K of S. We prove two structure theorems for normal subgroups of Mod(S,K). (Purity:) if…
Taut foliations leafwise branch cover S^2
Danny Calegari
A co-oriented foliation F of an oriented 3-manifold M is taut if and only if there is a map from M to the 2-sphere whose restriction to every leaf is a branched cover.
Nielsen realization for infinite-type surfaces
Santana Afton, Danny Calegari, Lvzhou Chen +1
Given a finite subgroup G of the mapping class group of a surface S, the Nielsen realization problem asks whether G can be realized as a finite group of homeomorphisms of S. In 198…
On stable commutator length in hyperelliptic mapping class groups
Danny Calegari, Naoyuki Monden, Masatoshi Sato
We give a new upper bound on the stable commutator length of Dehn twists in hyperelliptic mapping class groups, and determine the stable commutator length of some elements. We also…
Chimneys, leopard spots, and the identities of Basmajian and Bridgeman
Danny Calegari
We give a simple geometric argument to derive in a common manner orthospectrum identities of Basmajian and Bridgeman. Our method also considerably simplifies the determination of t…