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Dynamical systems on analytic manifolds of quadratic differentials: chapter I, F-structures. (English) Zbl 1428.37034
Ji, Lizhen (ed.) et al., Uniformization, Riemann-Hilbert correspondence, Calabi-Yau manifolds and Picard-Fuchs equations. Based on the conference, Institute Mittag-Leffler, Stockholm, Sweden, July 13–18, 2015. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 42, 475-525 (2018).
Summary: The present paper was the first of three papers prepared in 1983-1985. These papers carried the same lead title, “Dynamical systems on analytic manifolds of quadratic differentials”, with the successive subtitles, “Chapter I, F-structures”, “Chapter II, Analytic manifolds of quadratic differentials”, “Chapter III, The Teichmüller geodesic flow”.
For the entire collection see [Zbl 1398.14003].
37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
32G15 Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)
58A05 Differentiable manifolds, foundations