JournalsowrVol. 11, No. 1pp. 869–941

Flat Surfaces and Dynamics on Moduli Space

  • Howard Masur

    University of Chicago, USA
  • Martin Möller

    J.W. Goethe-Universität, Frankfurt a.M., Germany
  • Anton Zorich

    Université Paris 7, Paris, France
Flat Surfaces and Dynamics on Moduli Space cover
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Abstract

Dynamics of the Teichmüller geodesic flow on the moduli space of curves and asymptotic monodromy of the Hodge bundle along this flow have numerous applications to dynamics and geometry of measured foliations, to billiards in polygons, to interval exchange transformations, and to geometry of flat surfaces.

Cite this article

Howard Masur, Martin Möller, Anton Zorich, Flat Surfaces and Dynamics on Moduli Space. Oberwolfach Rep. 11 (2014), no. 1, pp. 869–941

DOI 10.4171/OWR/2014/15