2 papers
math.GT2024
Spheres in the curve graph and linear connectivity of the Gromov boundary
Alex Wright
We consider the curve graph in the cases where it is not a Farey graph, and show that its Gromov boundary is linearly connected. For a fixed center point c and radius r, we define…
math.DS2024
Totally geodesic submanifolds of Teichmuller space
Alex Wright
We show that any totally geodesic submanifold of Teichmuller space of dimension greater than one covers a totally geodesic subvariety, and only finitely many totally geodesic subva…