5 papers
Characterizing hierarchically hyperbolic free by cyclic groups
Eliot Bongiovanni, Pritam Ghosh, Funda Gültepe +1
We algebraically characterize free by cyclic groups that have coarse medians, and prove that this is equivalent to the a priori stronger properties of being colourable hierarchical…
Geometry of extensions of free groups via automorphisms with fixed points on the complex of free factors
Pritam Ghosh, Funda Gültepe
We give conditions of an extension of a free group to be hyperbolic and relatively hyperbolic using the dynamics of the action of $\out$ on the complex of free factors combined wit…
Relative hyperbolicity of free extensions of free groups
Pritam Ghosh, Funda Gültepe
We give necessary and sufficient conditions for a free-by-free group to be relatively hyperbolic with a cusp-preserving structure. Namely, if is a collection o…
A universal Cannon-Thurston map and the surviving curve complex
Funda Gültepe, Christopher J Leininger, Witsarut Pho-On
Using the Birmanexact sequence for pure mapping class groups, we construct a universal Cannon--Thurston map onto the boundary of a curve complex for a surface with punctures we cal…
Normal Tori in
Funda Gültepe
The fundamental group of is , the free group with generators. There is a 1-1 correspondence between the equivalence classes of -…