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The geometry of the moduli space of Riemann surfaces
Author(s):
Scott A.
Wolpert
Journal:
Bull. Amer. Math. Soc.
11
(1984),
189-191.
MSC (1980):
Primary 30A46, 14H15
MathSciNet review:
741738
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References:
- 1.
- L. V. Ahlfors, Some remarks on Teichmüller's space of Riemann surfaces, Ann. of Math. (2) 74 (1961), 171-191. MR 204641
- 2.
- W. L. Baily, On the imbedding of V-manifolds in projective space, Amer. J. Math. 79 (1957), 403-430. MR 100104
- 3.
- L. Bers, Spaces of degenerating Riemann surfaces, Ann. of Math. Stud. 79 (1974), 43-55. MR 361051
- 4.
- J. Harer, The second homology group of the mapping class group of an orientable surface, Invent. Math. 72 (1982), 221-239. MR 700769
- 5.
- H. Masur, The extension of the Weil-Petersson metric to the boundary of Teichmüller space, Duke Math. J. 43 (1976), 623-635. MR 417456
- 6.
- W. P. Thurston, The geometry and topology of 3-manifolds, notes.
- 7.
- S. A. Wolpert, The Fenchel-Nielsen deformation, Ann. of Math. (2) 115 (1982), 501-528. MR 657237
- 8.
- S. A. Wolpert, On the symplectic geometry of deformations of a hyperbolic surface, Ann. of Math. (2) 117 (1983), 207-234. MR 690844
- 9.
- S. A. Wolpert, On the Kähler form of the moduli space of once punctured tori, Comment. Math. Helv. 58 (1983), 246-256. MR 705535
- 10.
- S. A. Wolpert, On the Weil-Petersson geometry of the moduli space of curves, Amer. J. Math, (to appear). MR 796909
- 11.
- S. A. Wolpert, On the homology of the moduli space of stable curves, Ann. of Math. (2) 118 (1983), 491-523. MR 727702
- 12.
- S. A. Wolpert, On obtaining a positive bundle from the Weil-Petersson class, Amer. J. Math, (to appear). MR 815769
- 13.
- S. A. Wolpert, Chern forms and the Riemann tensor for the moduli space of curves, preprint. MR 842050
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Additional Information:
DOI:
10.1090/S0273-0979-1984-15264-9
PII:
S 0273-0979(1984)15264-9
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