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A note on an effective characterization of covers with an application to higher rank representations
Tarik Aougab, Max Lahn, Marissa Loving +1
In this note we prove an effective characterization of when two finite-degree covers of a connected, orientable surface of negative Euler characteristic are isomorphic in terms of…
Unmarked simple length spectral rigidity for covers
Tarik Aougab, Max Lahn, Marissa Loving +1
We prove that every closed orientable surface S of negative Euler characteristic admits a pair of finite-degree covers which are length isospectral over S but generically not simpl…
Characterizing covers via simple closed curves
Tarik Aougab, Max Lahn, Marissa Loving +1
Given two finite covers and of a connected, oriented, closed surface of genus at least , we attempt to characterize the equivalence of and …
Algebraic k-systems of curves
Charles Daly, Jonah Gaster, Max Lahn +2
A collection of simple closed curves on an orientable surface is an algebraic -system if the algebraic intersection number is equal to in absolu…