English

On unipotent flows in H(1,1)

Dynamical Systems 2008-09-29 v2

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).

Keywords

Cite

@article{arxiv.math/0702238,
  title  = {On unipotent flows in H(1,1)},
  author = {Kariane Calta and Kevin Wortman},
  journal= {arXiv preprint arXiv:math/0702238},
  year   = {2008}
}

Comments

23 pages

R2 v1 2026-07-22T17:50:43.325Z