ON THE WEIL-PETERSSON GEOMETRY OF THE MODULI SPACE OF CURVES

Keywords

Moduli space, Mathematics, Geometry, Space (punctuation), Moduli of algebraic curves

References

• The projectivity of the moduli space of stable curves, II: The stacks M_g,nFinn F. Knudsen — 1983
• The extension of the Weil-Petersson metric to the boundary of Teichmuller spaceHoward Masur — 1976
• Stability of projective varietiesDavid Mumford — 1977
• Theta Functions on Riemann SurfacesJohn D. Fay — 1973
• Some Remarks on Teichmuller's Space of Riemann SurfacesLars V. Ahlfors — 1961
• On the Kähler form of the moduli space of once punctured toriScott A. Wolpert — 1983
• An elementary formula for the Fenchel-Nielsen twistScott A. Wolpert — 1981
• On the symplectic geometry of deformations of a hyperbolic surfaceScott A. Wolpert — 1983
• On the homology of the moduli space of stable curvesScott A. Wolpert — 1983
• On Obtaining a Positive Line Bundle from the Weil-Petersson ClassScott A. Wolpert — 1985
• The Fenchel-Nielsen deformationScott A. Wolpert — 1982
• Noncompleteness of the Weil-Petersson metric for Teichmüller spaceScott A. Wolpert — 1975
• ON A GENERALIZATION OF THE NOTION OF MANIFOLD.Ichirō Satake — 1956
• SPACES OF DEGENERATING RIEMANN SURFACESL. Bers — 1974

Cited by

• Complex Symplectic Geometry of Quasi-Fuchsian SpaceIoannis D. Platis — 2001
• An analog of a modular functor from quantized TeichmFrank Herrlich, Gabriela Schmithüsen — 2004
• On the large genus asymptotics of Weil-Petersson volumesPeter Zograf — 2008
• MATRIX PRESENTATIONS OF THE TEICHMÜLLER SPACE OF A PAIR OF PANTSHong Chan Kim — 2005
• Handbook of moduliGavril Farkas, Ian Morrison — 2013
• Fox calculus, symplectic forms, and moduli spacesValentino Zocca — 1998
• Symplectic geometry of the moduli space of projective structures in homological coordinatesMarco Bertola, Dmitry Korotkin, Chaya Norton — 2015
• Areas of two-dimensional moduli spacesToshihiro Nakanishi, Marjatta Näätänen — 2001
• Problems on Mapping Class Groups And Related TopicsFarb, Benson 1967- — 2006
• Weil-Petersson volumes and intersection theory on the moduli space of curvesMaryam Mirzakhani — 2006
• Moduli of J-Holomorphic Curves with Lagrangian Boundary Conditions and Open Gromov-Witten Invariants for an S^1-Equivariant PairChiu-Chu Melissa Liu — 2002
• The degree of the Jacobian locus and the Schottky problemSamuel Grushevsky — 2004
• Minimal stretch maps between hyperbolic surfacesWilliam P. Thurston — 1998
• Holomorphic extensions of determinants of LaplaciansYoung‐Heon Kim — 2004
• Moduli spaces of hyperbolic surfaces and their Weil-Petersson volumesNorman Do — 2011
• The symplectic global coordinates on the moduli space of real projective structuresHong Chan Kim — 1999
• Moduli of bordered Riemann Surfaces - Complex structure and K\Инканг Ким, Georg Schumacher — 2008
• Extremal length estimates and product regions in TeichmYair N. Minsky — 1994
• Degeneration and gluing of Kuranishi structures in Gromov-Witten theory and the degeneration/gluing axioms for open Gromov-Witten invariants under a symplectic cutChien‐Hao Liu, Shing–Tung Yau — 2006
• Weil-Petersson volumes of moduli spaces of curves and the genus expansion in two dimensional gravityPeter Zograf — 1998

Related papers

• Moduli spaces from a topological viewpointIb Madsen — 2006
• A calculus for the moduli space of curvesRahul Pandharipande — 2016
• The Instanton moduli spaces as algebraic setsP. Šťovı́ček — 1992