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References
W. Abikoff, Topics in the Real Analytic Theory of Teichmüller Space, L.N.M. 820 Springer-Verlag, New York, 1980.
L. V. Ahlfors, Some remarks on Teichmüller’s space of Riemann surfaces, Ann. of Math., 74 (1961), 171–191.
L. V. Ahlfors, Curvature properties of Teichmüller space, J. Analyse Math., 9 (1961), 161–176.
S. Arakelov, Families of algebraic curves with fixed degeneracies, Izv. Akad. Nauk., 35 (1971).
L. Bers, On boundaries of Teichmüller spaces and on Kleinian groups, I, Ann. of Math., 91 (1970), 570–600.
L. Bers, Fibre spaces over Teichmüller spaces, Acta. Math., 130 (1973), 89–126.
M. C. Chang and Z. Ran, Unirationality of the moduli spaces of curves of genus 11, 13 (and 12), Invent. Math., to appear.
R. Charney and R. Lee, Cohomology of the Satake compactification, Topology, 22 (1983), 389–423.
D. Eisenbud and J. Harris, Limit linear series, the irrationality of Mg and other applications, Bull. A.M.S., 10 (1984), 277–280.
W. M. Goldman, The symplectic nature of fundamental groups of surfaces, preprint.
J. Harer, The second homology group of the mapping class group of an orientable surface, Invent. Math., 72 (1983), 221–239.
J. Harer, Stability of the homology of the mapping class groups of orientable surfaces, Ann. of Math., to appear.
J. Harer, The virtual cohomological dimension of the mapping class groups of orientable surfaces, preprint.
W. Harvey, Boundary structure for the modular group, Ann. of Math. Studies, 97 (1978), 245–251.
A. Hatcher and W. Thurston, A presentation for the mapping class group of a closed orientable surface, Topology, 19 (1980), 221–237.
S. P. Kerckhoff, The Nielsen realization problem, Ann. of Math., 117 (1983), 235–265.
H. Masur, The extension of the Weil-Petersson metric to the boundary of Teichmüller space, Duke Math. J., 43 (1976), 623–635.
E. Miller, The homology of the moduli space and the mapping class group, preprint.
K. Strebel, On quadratic differentials with closed trajectories and second order poles, J. Analyse Math., 19 (1967), 373–382.
A. E. Fischer and A. J. Tromba, On a purely "Riemannian" proof of the structure and dimension of the unramified moduli space of a compact Riemann surface, Math. Ann., 267 (1984), 311–345.
A. E. Fischer and A. J. Tromba, On the Weil-Petersson metric on Teichmüller space, preprint.
S. A. Wolpert, Noncompleteness of the Weil-Petersson metric for Teichmüller space, Pac. J. Math., 61 (1975), 573–577.
S. A. Wolpert, The Fenchel-Nielsen deformation, Ann. of Math., 115 (1982), 501–528.
S. A. Wolpert, On the symplectic geometry of deformations of a hyperbolic surface, Ann. of Math., 117 (1983), 207–234.
S. A. Wolpert, On the Kähler form of the moduli space of once punctured tori, Comment. Math. Helv., 58 (1983), 246–256.
S. A. Wolpert, On the Weil-Petersson geometry of the moduli space of curves, Amer. J. Math., to appear.
S. A. Wolpert, On the homology of the moduli space of stable curves, Ann. of Math., 118 (1983), 491–523.
S. A. Wolpert, On obtaining a positive line bundle from the Weil-Petersson class, Amer. J. Math., to appear.
S. A. Wolpert, Chern forms and the Riemann tensor for the moduli space of curves, preprint.
S. A. Wolpert, Geodesic length functions and the Nielsen problem, preprint.
A. Borel, Stable real cohomology of arithmetic groups, Ann. Sci. Ecole Norm. Sup. 4e(7) (1974), 235–272.
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Wolpert, S.A. (1985). The topology and geometry of the moduli space of Riemann surfaces. In: Hirzebruch, F., Schwermer, J., Suter, S. (eds) Arbeitstagung Bonn 1984. Lecture Notes in Mathematics, vol 1111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084602
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DOI: https://doi.org/10.1007/BFb0084602
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