4 citations · 10 across the 9 of their papers we have counts for
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Asymptotically rigid mapping class groups of infinite graphs
Thomas Hill, Sanghoon Kwak, Brian Udall +1
We introduce and study asymptotically rigid mapping class groups of certain infinite graphs. We determine their finiteness properties and show that these depend on the number of en…
Surfaces proper homotopy equivalent to graphs and their Dehn-Nielsen-Baer maps
Ryan Dickmann, Hannah Hoganson, Sanghoon Kwak
Motivated by the recent work of Algom-Kfir and Bestinva introducing the mapping class group of an infinite graph via proper homotopy equivalences, we give a necessary and sufficien…
Coarsely bounded generating sets for mapping class groups of infinite-type surfaces
Thomas Hill, Sanghoon Kwak, Rebecca Rechkin
Mann and Rafi's seminal work initiated the study of the coarse geometry of big mapping class groups. Specifically, they construct coarsely bounded (CB) generating sets for mapping…
Thurston's Theorem: Entropy in Dimension One
Ryan Dickmann, George Domat, Thomas Hill +4
In his paper, Thurston shows that a positive real number is the topological entropy for an ergodic traintrack representative of an outer automorphism of a free group if and onl…
Coarse Geometry of Pure Mapping Class Groups of Infinite Graphs
George Domat, Hannah Hoganson, Sanghoon Kwak
We discuss the large-scale geometry of pure mapping class groups of locally finite, infinite graphs, motivated by recent work of Algom-Kfir--Bestvina and the work of Mann--Rafi on…
Free products from spinning and rotating families
Mladen Bestvina, Ryan Dickmann, George Domat +3
The far-reaching work of Dahmani-Guirardel-Osin and recent work of Clay-Mangahas-Margalit provide geometric approaches to the study of the normal closure of a subgroup (or a collec…
On Translation Lengths of Anosov Maps on Curve Graph of Torus
Hyungryul Baik, Changsub Kim, Sanghoon Kwak +1
We show that an Anosov map has a geodesic axis on the curve graph of a torus. The direct corollary of our result is the stable translation length of an Anosov map on the curve grap…