A Calculation of the Orbifold Euler Number of the Moduli Space of Curves by a New Cell Decomposition of the Teichmüller Space
NAKAMURA, Satoshi
Tokyo J. of Math., Tome 23 (2000) no. 2, p. 87-100 / Harvested from Project Euclid
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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.
Publié le : 2000-06-15
Classification:  
@article{1255958809,
     author = {NAKAMURA, Satoshi},
     title = {A Calculation of the Orbifold Euler Number of the Moduli Space of Curves by a New Cell Decomposition of the Teichm\"uller Space},
     journal = {Tokyo J. of Math.},
     volume = {23},
     number = {2},
     year = {2000},
     pages = { 87-100},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255958809}
}

NAKAMURA, Satoshi. A Calculation of the Orbifold Euler Number of the Moduli Space of Curves by a New Cell Decomposition of the Teichmüller Space. Tokyo J. of Math., Tome 23 (2000) no. 2, pp.  87-100. http://gdmltest.u-ga.fr/item/1255958809/