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math.GT2023
Veech fibrations
Sam Freedman, Trent Lucas
We investigate complex surfaces that fiber over Teichmüller curves where the generic fiber is a Veech surface. When the fiber has genus one, these surfaces are elliptic fibrations;…
math.GT2023
Homological representations of low genus mapping class groups
Trent Lucas
Given a finite group acting on a surface , the centralizer of G in the mapping class group has a natural representation given by its action on the homology…