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On unipotent flows in ℋ(1,1)

Published online by Cambridge University Press:  23 June 2009

KARIANE CALTA  and
KEVIN WORTMAN
KARIANE CALTA
Affiliation:
Department of Mathematics, Rockefeller Hall, 124 Raymond Avenue, Vassar College, Poughkeepsie, NY 12604-0257, USA (email: [email protected])
KEVIN WORTMAN
Affiliation:
Department of Mathematics, University of Utah, 155 S 1400 E Room 233, Salt Lake City, UT 84112-0090, USA (email: [email protected])
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Abstract

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).

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 30 , Issue 2 , April 2010 , pp. 379 - 398
Copyright
Copyright © Cambridge University Press 2009

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