Geometry & Topology Volume 15, issue 4 (2011)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Procedure

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Other MSP Journals

Counting lattice points in compactified moduli spaces of curves

Norman Do and Paul Norbury

Geometry & Topology 15 (2011) 2321–2350

DOI: 10.2140/gt.2011.15.2321

Bibliography

1	G Bini, J Harer, Euler characteristics of moduli spaces of curves, J. Eur. Math. Soc. $($JEMS$)$ 13 (2011) 487 MR2746773
2	B Eynard, N Orantin, Invariants of algebraic curves and topological expansion, Commun. Number Theory Phys. 1 (2007) 347 MR2346575
3	I P Goulden, S Litsyn, V Shevelev, On a sequence arising in algebraic geometry, J. Integer Seq. 8 (2005) MR2177086
4	J Harer, D Zagier, The Euler characteristic of the moduli space of curves, Invent. Math. 85 (1986) 457 MR848681
5	M Kontsevich, Intersection theory on the moduli space of curves and the matrix Airy function, Comm. Math. Phys. 147 (1992) 1 MR1171758
6	Y I Manin, Generating functions in algebraic geometry and sums over trees, from: "The moduli space of curves (Texel Island, 1994)", Progr. Math. 129, Birkhäuser (1995) 401 MR1363064
7	M Mulase, M Penkava, Ribbon graphs, quadratic differentials on Riemann surfaces, and algebraic curves defined over $\wwbar{\mathbf{Q}}$, Asian J. Math. 2 (1998) 875 MR1734132
8	P Norbury, Counting lattice points in the moduli space of curves, Math. Res. Lett. 17 (2010) 467 MR2653682
9	P Norbury, Cell decompositions of moduli space, lattice points and Hurwitz problems, to appear in Handbook of Moduli
10	P Norbury, String and dilaton equations for counting lattice points in the moduli space of curves, to appear in Trans. Amer. Math. Soc.
11	R C Penner, Perturbative series and the moduli space of Riemann surfaces, J. Differential Geom. 27 (1988) 35 MR918455
12	K Strebel, Quadratic differentials, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) 5, Springer (1984) MR743423
13	E Witten, Two-dimensional gravity and intersection theory on moduli space, from: "Surveys in differential geometry (Cambridge, MA, 1990)", Lehigh Univ. (1991) 243 MR1144529
14	D Zvonkine, Strebel differentials on stable curves and Kontsevich's proof of Witten's conjecture arXiv:math/0209071v2