The geometry of the moduli space of Riemann surfaces

Wolpert, Scott A.

doi:10.1090/S0273-0979-1984-15264-9

The geometry of the moduli space of Riemann surfaces
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Bull. Amer. Math. Soc. 11 (1984), 189-191

References

Lars V. Ahlfors, Some remarks on Teichmüller’s space of Riemann surfaces, Ann. of Math. (2) 74 (1961), 171–191. MR 204641, DOI 10.2307/1970309
W. L. Baily, On the imbedding of $V$-manifolds in projective space, Amer. J. Math. 79 (1957), 403–430. MR 100104, DOI 10.2307/2372689
Lipman Bers, Spaces of degenerating Riemann surfaces, Discontinuous groups and Riemann surfaces (Proc. Conf., Univ. Maryland, College Park, Md., 1973) Ann. of Math. Studies, No. 79, Princeton Univ. Press, Princeton, N.J., 1974, pp. 43–55. MR 0361051
John Harer, The second homology group of the mapping class group of an orientable surface, Invent. Math. 72 (1983), no. 2, 221–239. MR 700769, DOI 10.1007/BF01389321
Howard Masur, Extension of the Weil-Petersson metric to the boundary of Teichmuller space, Duke Math. J. 43 (1976), no. 3, 623–635. MR 417456
Scott Wolpert, The Fenchel-Nielsen deformation, Ann. of Math. (2) 115 (1982), no. 3, 501–528. MR 657237, DOI 10.2307/2007011
Scott Wolpert, On the symplectic geometry of deformations of a hyperbolic surface, Ann. of Math. (2) 117 (1983), no. 2, 207–234. MR 690844, DOI 10.2307/2007075
Scott Wolpert, On the Kähler form of the moduli space of once punctured tori, Comment. Math. Helv. 58 (1983), no. 2, 246–256. MR 705535, DOI 10.1007/BF02564634
Scott Wolpert, On the Weil-Petersson geometry of the moduli space of curves, Amer. J. Math. 107 (1985), no. 4, 969–997. MR 796909, DOI 10.2307/2374363
Scott Wolpert, On the homology of the moduli space of stable curves, Ann. of Math. (2) 118 (1983), no. 3, 491–523. MR 727702, DOI 10.2307/2006980
Scott A. Wolpert, On obtaining a positive line bundle from the Weil-Petersson class, Amer. J. Math. 107 (1985), no. 6, 1485–1507 (1986). MR 815769, DOI 10.2307/2374413
Scott A. Wolpert, Chern forms and the Riemann tensor for the moduli space of curves, Invent. Math. 85 (1986), no. 1, 119–145. MR 842050, DOI 10.1007/BF01388794