From the 1 of 4 linked papers with an AI index.
4 papers
Surfaces proper homotopy equivalent to graphs and their Dehn-Nielsen-Baer maps
Ryan Dickmann, Hannah Hoganson, Sanghoon Kwak
The paper characterizes which second‑countable orientable surfaces (possibly of infinite type with non‑compact boundary) are properly homotopy equivalent to graphs, and studies the…
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…
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…
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…