Invertible cohomological field theories and Weil-Petersson volumes
Annales de l'institut Fourier (2000)
- Volume: 50, Issue: 2, page 519-535
- ISSN: 0373-0956
Access Full Article
topAbstract
topHow to cite
topReferences
top- [AC] E. ARBARELLO, M. CORNALBA, Combinatorial and algebro-geometric cohomology classes on the moduli spaces of curves, Journ. Alg. Geom., 5 (1996), 705-749. Zbl0886.14007MR99c:14033
- [EYY] T. EGUCHI, Y. YAMADA, S.-K. YANG, On the genus expansion in the topological string theory, Rev. Mod. Phys., 7 (1995), 279. Zbl0837.58043MR96e:81169
- [FP] C. FABER, R. PANDHARIPANDE, Hodge integrals and Gromov-Witten theory, Preprint math.AG/9810173. Zbl0960.14031
- [GK] E. GETZLER, M. M. KAPRANOV, Modular operads, Comp. Math., 110 (1998), 65-126. Zbl0894.18005MR99f:18009
- [GoOrZo] V. GORBOUNOV, D. ORLOV, P. ZOGRAF (in preparation).
- [IZu] C. ITZYKSON, J.-B. ZUBER, Combinatorics of the modular group II: the Kont-sevich integrals, Int. J. Mod. Phys., A7 (1992), 5661. Zbl0972.14500MR94m:32029
- [KabKi] A. KABANOV, T. KIMURA, Intersection numbers and rank one cohomological field theories in genus one, Comm. Math. Phys., 194 (1998), 651-674. Zbl0974.14018MR2000h:14046
- [KaMZ] R. KAUFMANN, Yu. MANIN, D. ZAGIER, Higher Weil-Petersson volumes of moduli spaces of stable n-pointed curves, Comm. Math. Phys., 181 (1996), 763-787. Zbl0890.14011MR98i:14029
- [KoM] M. KONTSEVICH, Yu. MANIN, Gromov-Witten classes, quantum cohomology, and enumerative geometry, Comm. Math. Phys., 164 (1994), 525-562. Zbl0853.14020MR95i:14049
- [KoMK] M. KONTSEVICH, Yu. MANIN, (with Appendix by R. Kaufmann), Quantum cohomology of a product, Inv. Math., 124 (1996), 313-340. Zbl0853.14021MR97e:14064
- [Mo] J. MORAVA, Schur Q-functions and a Kontsevich-Witten genus, Contemp. Math., 220 (1998), 255-266. Zbl0937.55003MR2000c:14034
- [Mu] D. MUMFORD, Towards an enumerative geometry of the moduli space of curves. In: Arithmetic and Geometry (M. Artin and J. Tate, eds.), Part II, Birkhäuser, 1983, 271-328. Zbl0554.14008MR85j:14046
- [O] F. W. J. OLVER, Introduction to asymptotics and special functions, Academic Press, 1974. Zbl0308.41023MR55 #8655
- [W] E. WITTEN, Two-dimensional gravity and intersection theory on moduli space, Surveys in Diff. Geom., 1 (1991), 243-310. Zbl0757.53049MR93e:32028
- [Wo] S. WOLPERT, The hyperbolic metric and the geometry of the universal curve, J. Diff. Geo., 31 (1990), 417-472. Zbl0698.53002MR91a:32030
- [Zo] P. ZOGRAF, Weil-Petersson volumes of moduli spaces of curves and the genus expansion in two dimensional gravity, Preprint math.AG/9811026.