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math.GT2022
Moduli spaces of complex affine and dilation surfaces
Paul Apisa, Matt Bainbridge, Jane Wang
We construct moduli spaces of complex affine and dilation surfaces. Using ideas of Veech, we show that the the moduli space of affine surfaces with fixed genus and with cone points…
math.GT2021
The Realization Problem for Dilation Surfaces
Jane Wang
Dilation surfaces, or twisted quadratic differentials, are variants of translation surfaces. In this paper, we study the question of what elements or subgroups of the mapping class…
math.GT2019★ 1 cited
Statistics of Square-tiled Surfaces: Symmetry and Short Loops
Sunrose T. Shrestha, Jane Wang
Square-tiled surfaces are a class of translation surfaces that are of particular interest in geometry and dynamics because, as covers of the square torus, they share some of its si…