Geometry & Topology Volume 12, issue 2 (2008)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

Intersection numbers with Witten's top Chern class

Sergey Shadrin and Dimitri Zvonkine

Geometry & Topology 12 (2008) 713–745

DOI: 10.2140/gt.2008.12.713

Bibliography

1	D Abramovich, T J Jarvis, Moduli of twisted spin curves, Proc. Amer. Math. Soc. 131 (2003) 685 MR1937405
2	L Chen, Y Li, K Liu, Localization, Hurwitz numbers and the Witten conjecture arXiv:math/0609263
3	A Chiodo, Stable twisted curves and their $r$–spin structures, to appear in Annales de l'Institut Fourier arXiv:math/0603687
4	A Chiodo, The Witten top Chern class via $K$–theory, J. Algebraic Geom. 15 (2006) 681 MR2237266
5	C Faber, R Pandharipande, Relative maps and tautological classes, J. Eur. Math. Soc. $($JEMS$)$ 7 (2005) 13 MR2120989
6	C Faber, S Shadrin, D Zvonkine, Tautological relations and the $r$–spin Witten conjecture arXiv:math/0612510
7	E N Ionel, Topological recursive relations in $H^{2g}(\mathscr M_{g,n})$, Invent. Math. 148 (2002) 627 MR1908062
8	T J Jarvis, Geometry of the moduli of higher spin curves, Internat. J. Math. 11 (2000) 637 MR1780734
9	M E Kazarian, KP hierarchy and Hodge integrals, preprint (2007)
10	M E Kazarian, S K Lando, An algebro-geometric proof of Witten's conjecture, J. Amer. Math. Soc. 20 (2007) 1079 MR2328716
11	Y S Kim, K Liu, A simple proof of Witten conjecture through localization arXiv:math.AG/0508384
12	M Kontsevich, Intersection theory on the moduli space of curves and the matrix Airy function, Comm. Math. Phys. 147 (1992) 1 MR1171758
13	M Mirzakhani, Weil-Petersson volumes and intersection theory on the moduli space of curves, J. Amer. Math. Soc. 20 (2007) 1 MR2257394
14	D Mumford, Towards an enumerative geometry of the moduli space of curves, from: "Arithmetic and geometry, Vol. II", Progr. Math. 36, Birkhäuser (1983) 271 MR717614
15	A Okounkov, R Pandharipande, Gromov-Witten theory, Hurwitz numbers, and Matrix models, I arXiv:math.AG/0101147
16	A Polishchuk, Witten's top Chern class on the moduli space of higher spin curves, from: "Frobenius manifolds", Aspects Math. E36, Vieweg (2004) 253 MR2115773
17	A Polishchuk, A Vaintrob, Algebraic construction of Witten's top Chern class, from: "Advances in algebraic geometry motivated by physics (Lowell, MA, 2000)", Contemp. Math. 276, Amer. Math. Soc. (2001) 229 MR1837120
18	S V Shadrin, Geometry of meromorphic functions and intersections on moduli spaces of curves, Int. Math. Res. Not. (2003) 2051 MR1994776
19	E Witten, Two-dimensional gravity and intersection theory on moduli space, from: "Surveys in differential geometry (Cambridge, MA, 1990)", Lehigh Univ. (1991) 243 MR1144529
20	E Witten, Algebraic geometry associated with matrix models of two-dimensional gravity, from: "Topological methods in modern mathematics (Stony Brook, NY, 1991)", Publish or Perish (1993) 235 MR1215968