arXiv:math/0702238 Abstract

arXiv:math/0702238 [math.DS]Abstract References Reviews Resources

On unipotent flows in H(1,1)

Published 2007-02-09, updated 2008-09-28Version 2

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).

Comments: 23 pages

Categories: math.DS

Keywords: unipotent flows, horocycle flow, moduli space, abelian differentials, specific class

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