An explicit upper bound for Weil-Petersson volumes of the moduli spaces of punctured Riemann surfaces |
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| Authors: | Samuel Grushevsky |
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| Affiliation: | (1) Mathematics Department, Harvard University, One Oxford Street, Cambridge, MA 02138, USA (e-mail: grushevs@math.harvard.edu) , US |
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| Abstract: | ![]()
An explicit upper bound for the Weil-Petersson volumes of punctured Riemann surfaces is obtained using Penner's combinatorial integration scheme from [4]. It is shown that for a fixed number of punctures n and for genus g increasing, while this limit is exactly equal to two for n=1. Received: 17 May 2000 / Revised version: 9 August 2000 / Published online: 23 July 2001 |
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| Keywords: | Mathematics Subject Classification (2000): 32G15 30F60 |
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