The Weil-Petersson Geometry On the Thick Part of the Moduli Space of Riemann Surfaces

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On the thick part of the moduli space of Riemann surfaces, where there is a positive lower bound of the systole of the surface, we show that all Weil-Petersson Riemannian curvatures are bounded, independent of the genus of the surface.
11 pages, a missing reference is added

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