72 citations · 481 across the 42 of their papers we have counts for
45 papers · 1 filter
The non-peripheral curve graph and divergence in big mapping class groups
Assaf Bar-Natan, Yulan Qing, Kasra Rafi
We introduce a numerical invariant measuring the end-complexity of and use it to organize coarse-geometric features of Map(). Our main tool is the \emph{non-periphera…
Thurston geodesics: no backtracking and active intervals
Anna Lenzhen, Babak Modami, Kasra Rafi +1
We develop the notion of the active interval for a subsurface along a geodesic in the Thurston metric on Teichmuller space of a surface S. That is, for any geodesic in the Thurston…
Random walks on groups and superlinear divergent geodesics
Kunal Chawla, Inhyeok Choi, Vivian He +1
In this paper, we study random walks on groups that contain superlinear divergent geodesics, in the line of thoughts of Goldsborough-Sisto. The existence of a superlinear divergent…
Fibered 3-manifolds and Veech groups
Christopher J. Leininger, Kasra Rafi, Nicholas Rouse +2
We study Veech groups associated to the pseudo-Anosov monodromies of fibers and foliations of a fixed hyperbolic 3-manifold. Assuming Lehmer's Conjecture, we prove that the Veech g…
Two results on end spaces of infinite type surfaces
Kathryn Mann, Kasra Rafi
We answer two questions about the topology of end spaces of infinite type surfaces and the action of the mapping class group that have appeared in the literature. First, we give ex…
Asymptotic Dimension of Big Mapping Class Groups
Curtis Grant, Kasra Rafi, Yvon Verberne
Even though big mapping class groups are not countably generated, certain big mapping class groups can be generated by a coarsely bounded set and have a well defined quasi-isometry…