An explicit upper bound for Weil-Petersson volumes of the moduli spaces of punctured Riemann surfaces

Mathematische Annalen

Volumn 321, Issue 1, 2001, Pages 1-13

  Grushevsky, Samuel ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035621230     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004496     Document Type: Article

References (10)

1. C. Faber, Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians. New trends in algebraic geometry (Warwick, 1996), 93-109, London Math. Soc. Lecture Note Ser., 264, Cambridge Univ. Press, Cambridge, 1999.
2. C. Faber, Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians. New trends in algebraic geometry (Warwick, 1996), 93-109, London Math. Soc. Lecture Note Ser., 264, Cambridge Univ. Press, Cambridge, 1999.
3. M. Kontsevich, Intersection theory on the moduli space of curves (Russian) Funktsional. Anal. i Prilozhen. 25 (1991), no. 2, 50-57; translation in Functional Anal. Appl. 25 (1991), no. 2, 123-129
4. M. Kontsevich, Intersection theory on the moduli space of curves (Russian) Funktsional. Anal. i Prilozhen. 25 (1991), no. 2, 50-57; translation in Functional Anal. Appl. 25 (1991), no. 2, 123-129
5. Yu. I. Manin, P. Zograf, Invertible Cohomological Field Theories and Weil-Petersson volumes, preprint math.AG/9902051
6. R. C. Penner, Weil-Petersson volumes, J. Differential Geometry 35 (1992) 559-608
7. R. Penner, The decorated Teichmüller space of punctured surfaces, Comm. Math. Phys. 113 (1987) 299-319
8. E. Witten, Two-dimensional gravity and intersection theory on moduli space, Surveys in Differential Geometry 1 (1991), 243-310
9. S. Wolpert, On the homology of the moduli space of stable curves, Annals of Mathematics 118 (1983), 491-523
10. P. Zograf, Weil-Petersson volumes of moduli spaces of curves and the genus expansion in two dimensional gravity, preprint math.AG/9811026