4 citations · 10 across the 9 of their papers we have counts for
10 papers
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…
Nonunique Ergodicity on the Boundary of Outer space
Mladen Bestvina, Elizabeth Field, Sanghoon Kwak
To an -tree in the boundary of Outer space, we associate two simplices: the simplex of projective length measures, and the simplex of projective dual currents. For both…
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…
Generating Sets and Algebraic Properties of Pure Mapping Class Groups of Infinite Graphs
George Domat, Hannah Hoganson, Sanghoon Kwak
We completely classify the locally finite, infinite graphs with pure mapping class groups admitting a coarsely bounded generating set. We also study algebraic properties of the pur…
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…
The Automorphism Group of the Infinite-Rank Free Group is Coarsely Bounded
George Domat, Hannah Hoganson, Sanghoon Kwak
We prove that the full automorphism group and the outer automorphism group of the free group of countably infinite rank are coarsely bounded. That is, these groups admit no continu…
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…