Chern forms and the Riemann tensor for the moduli space ofcurves.

S.A. Wolpert

Displaying similar documents to “Chern forms and the Riemann tensor for the moduli space ofcurves.”

Degeneration of Riemann surfaces and intermediate polarization of the moduli space of flat connections.

Tatsuru Takakura (1996)

Inventiones mathematicae

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Parametrization of the moduli space of hyperelliptic and symmetric Riemann surfaces.

Costa, A.F., Martínez, E. (1997)

Annales Academiae Scientiarum Fennicae. Mathematica

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A note on isolated points in the branch locus of the moduli space of compact Riemann surfaces.

Bujalance, Emilio, Costa, Antonio F., Izquierdo, Milagros (1998)

Annales Academiae Scientiarum Fennicae. Mathematica

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Scalar differential concomitants of the second order of the metrical tensor in three-dimensional Riemann spaces

M. Lorens (1970)

Annales Polonici Mathematici

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Navigating moduli space with complex twists

Curtis McMullen (2013)

Journal of the European Mathematical Society

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We discuss a common framework for studying twists of Riemann surfaces coming from earthquakes, Teichmüller theory and Schiffer variations, and use it to analyze geodesics in the moduli space of isoperiodic 1-forms.

Harmonic Maps of the Moduli Space of Compact Riemann Surfaces.

Georg Schumacher (1986)

Mathematische Annalen

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Riemann compatible tensors

Carlo Alberto Mantica, Luca Guido Molinari (2012)

Colloquium Mathematicae

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Derdziński and Shen's theorem on the restrictions on the Riemann tensor imposed by existence of a Codazzi tensor holds more generally when a Riemann compatible tensor exists. Several properties are shown to remain valid in this broader setting. Riemann compatibility is equivalent to the Bianchi identity for a new "Codazzi deviation tensor", with a geometric significance. The above general properties are studied, with their implications on Pontryagin forms. Examples are given of manifolds...

The geometric quantization of the moduli space of Riemann surfaces with even spin structure.

Abel G. Wolman (1996)

Journal für die reine und angewandte Mathematik

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A remark on the homotopical dimension of some moduli spaces of stable Riemann surfaces

Gabriele Mondello (2008)

Journal of the European Mathematical Society

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Using a result of Harer, we prove certain upper bounds for the homotopical/cohomological dimension of the moduli spaces of Riemann surfaces of compact type, of Riemann surfaces with rational tails and of Riemann surfaces with at most k rational components. These bounds would follow from conjectures of Looijenga and Roth–Vakil.