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arXiv:math/0003217 [math.AG]AbstractReferencesReviewsResources

Explicit upper bound for the Weil-Petersson volumes

Samuel Grushevsky

Published 2000-03-30, updated 2001-06-20Version 2

An explicit upper bound for the Weil-Petersson volumes of the moduli spaces of punctured Riemann surfaces is obtained, using Penner's combinatorial integration scheme with embedded trivalent graphs. It is shown that for a fixed number of punctures n and for genus g going to infinity, the Weil-Petersson volume of M_{g,n} has an upper bound c^g g^{2g}. Here c is an independent of n constant, which is given explicitly.

Comments: 13 pages, AMSTeX. Version 2: misprints and references corrected.
Categories: math.AG
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