On unipotent flows in H(1,1)

Mathematics – Dynamical Systems

Scientific paper

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23 pages

Scientific paper

We study the action of the horocycle flow on the moduli space of abelian
differentials in genus two. In particular, we exhibit a classification of a
specific class of probability measures that are invariant and ergodic under the
horocycle flow on the stratum H(1,1).

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