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math.DS2022
Kontsevich-Zorich monodromy groups of translation covers of some platonic solids
Rodolfo Gutiérrez-Romo, Dami Lee, Anthony Sanchez
We compute the Zariski closure of the Kontsevich-Zorich monodromy groups arising from certain square tiled surfaces that are geometrically motivated. Specifically we consider three…
math.DS2022
An avoidance principle and Margulis functions for expanding translates of unipotent orbits
Anthony Sanchez, Juno Seong
We prove an avoidance principle for expanding translates of unipotent orbits for some semisimple homogeneous spaces. In addition, we prove a quantitative isolation result of closed…