Showing 2024Show all
2 papers · 1 filter
math.GT2024
The boundary of a totally geodesic subvariety of moduli space
Frederik Benirschke, Benjamin Dozier, John Rached
We consider subvarieties of , the moduli space of genus Riemann surfaces with marked points, that are totally geodesic with respect to the Teichmülle…
math.DS2024
Separation of horocycle orbits on moduli space in genus 2
John Rached
We prove a quantitative closing lemma for the horocycle flow induced by the -action on the moduli space of Abelian differentials with a double-order zero…