The geometry of the moduli space of Riemann surfaces

DOI10.1090/S0273-0979-1984-15264-9zbMath0565.32011OpenAlexW2056177995MaRDI QIDQ3679492

Scott A. Wolpert

Publication date: 1984

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1984-15264-9

zbMATH Keywords

symplectic geometryTeichmüller spacehyperbolic geometrymoduli space of Riemann surfacesWeil-Petersson Kähler form

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Families, moduli of curves (analytic) (14H15) Differentials on Riemann surfaces (30F30)

Related Items (4)

Unnamed Item ⋮ Algebraic geometry and the geometry of quantum strings ⋮ Uniformization of conformal involutions on stable Riemann surfaces ⋮ A superanalog of the Selberg trace formula and multiloop contributions for fermionic strings

Cites Work

• On the Kähler form of the moduli space of once punctured tori
• The second homology group of the mapping class group of an orientable surface
• On the symplectic geometry of deformations of a hyperbolic surface
• On the homology of the moduli space of stable curves
• Chern forms and the Riemann tensor for the moduli space of curves
• The Fenchel-Nielsen deformation
• The extension of the Weil-Petersson metric to the boundary of Teichmüller space
• Some remarks on Teichmüller's space of Riemann surfaces
• Abelian minimal surfaces
• On the Weil-Petersson Geometry of the Moduli Space of Curves
• On Obtaining a Positive Line Bundle from the Weil-Petersson Class
• On the Imbedding of V-Manifolds in Projective Space

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