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math.DS2024
Classification of horocycle orbit closures in -covers
James Farre, Or Landesberg, Yair Minsky
We fully describe all horocycle orbit closures in -covers of compact hyperbolic surfaces. Our results rely on a careful analysis of the efficiency of all distance min…
math.DS2011
Cohomology classes represented by measured foliations, and Mahler's question for interval exchanges
Yair N. Minsky, Barak Weiss
A translation surface on (S, Σ) gives rise to two transverse measured foliations \FF, \GG on S with singularities in Σ, and by integration, to a pair of cohomology classes [\FF], \…