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arXiv · 2212.12387

Estimates for the average scalar curvature of the Weil-Petersson metric on the Moduli space $\overline{\cal M}_g$

Georg Schumacher·Stefano Trapani
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Abstract

We give a precise estimate for the average scalar curvature of the Weil-Petersson metric on the moduli space $\overline{\cal M}_g$ as $g\to\infty$ up to the order $1/g^2$.

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Georg Schumacher, Stefano Trapani. 2022-12-23. Estimates for the average scalar curvature of the Weil-Petersson metric on the Moduli space $\overline{\cal M}_g$. https://doi.org/10.1007/s00229-023-01523-1

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