3 papers
math.GT2026
Gromov boundary of the Grand Arc graph
Carolyn Abbott, Assaf Bar-Natan, Arya Vadnere
We describe a dense subset of the Gromov boundary of the grand arc graph of an infinite-type surface as a space of geodesic laminations, analogous to Klarreich's description of the…
math.GT2019
Isoperimetric Inequality for Disconnected Regions
Bidyut Sanki, Arya Vadnere
The discrete isoperimetric inequality in Euclidean geometry states that among all -gons having a fixed perimeter , the one with the largest area is the regular -gon. The s…
math.GT2019
A conjecture on the lengths of filling pairs
Bidyut Sanki, Arya Vadnere
A pair of simple closed geodesics on a closed and oriented hyperbolic surface of genus is called a filling pair if the complementary components of in $M…