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Weil-Petersson areas of the moduli spaces of tori - MaRDI portal

Weil-Petersson areas of the moduli spaces of tori (Q1384133)

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scientific article; zbMATH DE number 1140112
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Weil-Petersson areas of the moduli spaces of tori
scientific article; zbMATH DE number 1140112

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    Weil-Petersson areas of the moduli spaces of tori (English)
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    13 April 1998
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    It is proved that the Weil-Petersson area of the moduli space of the torus with one conical point of order \(\nu\) is \((\pi^2/6) (1-1/\nu^2)\) and that of the moduli space of the torus with a totally geodesic boundary curve of length \(m\) is \(\pi^2/6+ m^2/24\).
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    moduli spaces of tori
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    Fuchsian group
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    Weil-Petersson area
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