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June 2000 A Calculation of the Orbifold Euler Number of the Moduli Space of Curves by a New Cell Decomposition of the Teichmüller Space
Satoshi NAKAMURA
Tokyo J. Math. 23(1): 87-100 (June 2000). DOI: 10.3836/tjm/1255958809

Abstract

In [GW], S. B. Giddings and S. A. Wolpert proposed a procedure to obtain a new cell decomposition of the moduli space of curves. In this paper, we work out this procedure in detail. The number of cells in this new cell decomposition is smaller than that in other cell decompositions given in [BE, Ha, P3] and this makes the explicit computations of the orbifold Euler numbers of the moduli spaces for small genera easier. We check in many examples that they coincide with the known value.

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Satoshi NAKAMURA. "A Calculation of the Orbifold Euler Number of the Moduli Space of Curves by a New Cell Decomposition of the Teichmüller Space." Tokyo J. Math. 23 (1) 87 - 100, June 2000. https://doi.org/10.3836/tjm/1255958809

Information

Published: June 2000
First available in Project Euclid: 19 October 2009

zbMATH: 0960.30035
MathSciNet: MR1763506
Digital Object Identifier: 10.3836/tjm/1255958809

Rights: Copyright © 2000 Publication Committee for the Tokyo Journal of Mathematics

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Vol.23 • No. 1 • June 2000
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