MR1888794 (2003g:37009) Reviewed Forni, Giovanni (1-PRIN) Deviation of ergodic averages for area-preserving flows on surfaces of higher genus. Ann. of Math. (2) 155 (2002), no. 1, 1–103. 37A25 (32G15 37C40 37D25 37D40 37E35 53D25) uses Teich flow; ``Zorich Konstsevitch cocycle; an apparent Jacobian formed as H^1 (\Sigma , C) / Mapping class group...'' ****** MR3931785 Reviewed Forni, Giovanni (1-MD); Goldman, William M. (1-MD) Mixing flows on moduli spaces of flat bundles over surfaces. (English summary) Geometry and physics. Vol. II, 519–533, Oxford Univ. Press, Oxford, 2018. 37D40 (32G15)More links Review PDF Clipboard Series Chapter Make Link Summary: "We extend Teichmüller dynamics to a flow on the total space of a flat bundle of deformation spaces MR3345837 Reviewed Forni, Giovanni (1-MD); Matheus, Carlos (F-PARIS13-AG) Introduction to Teichmüller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiards. (English summary) J. Mod. Dyn. 8 (2014), no. 3-4, 271–436. 37D40 (30F10 30F60 32G15 32G20) Buser ref: http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.207.3884&rep=rep1&type=pdf