Veech Surfaces and Expanding Twist Tori on Moduli Spaces of Abelian Differentials

Jon Chaika, Osama Khalil

Let $(M,\ddot{I}‰)$ be a translation surface such that every leaf of its horizontal foliation is either closed, or joins two zeros of $\ddot{I}‰$. Then, $M$ decomposes as a union of horizontal E…