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Complex geometry of universal Teichmüller space. (English) Zbl 1494.32005

MSC:

32G15 Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)
30F60 Teichmüller theory for Riemann surfaces
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References:

[1] 1. Sergeev, A.G. (2014), {Lectures on Universal Teichm\"uller Space}, Publishing House, European Mathematical Society, 2014. · Zbl 1297.30003
[2] 2. Ahlfors, L. (1966), {Lectures on Quaiconformal Mappings}, Van Nostrand, Princeton, 1966. · Zbl 0138.06002
[3] 3. Lehto, O. (1987), {Univalent Functions and Teichm\"uller Spaces}, Springer Verlag, Berlin. · Zbl 0606.30001
[4] 4. Ahlfors, L. (1961), Some remarks on Teichm\"uller’s space of Riemann surfaces, Ann. Math., 74(1961), 171-191. · Zbl 0146.30602
[5] 5. Nag, S. (1988), {The Complex Analytic Theory of Teichm\"uller Spaces}, Wiley Interscience, New York. · Zbl 0667.30040
[6] 6. Bowen, R. (1979), Hausdorff dimension of quasicircles, Publ. Math. IHES, 50(1979), 259-273.
[7] 7. Sergeev, A.G. (2020), In search of infinite-dimensional K\"ahler geometry, Russian Math. Uspekhi, 75(2), 133-184. · Zbl 1446.58003
[8] 8. Nag, S. and Sullivan, D. (1955), Teichm\"uller theory and the universal period mapping via quantum calculus and the \(H1/2H^{1 / 2}H^{1/2}\) space on the circle, Osaka J. Math., 32(1995), 1-34. · Zbl 0820.30027
[9] 9. Witten, E. (1988), Coadjoint orbits of the Virasoro group, Commun. Math. Phys., 114, 1-53. · Zbl 0632.22015
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