@article{ASNSP_2000_4_29_1_171_0, author = {Belorousski, Pavel and Pandharipande, Rahul}, title = {A descendent relation in genus 2}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {171--191}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 29}, number = {1}, year = {2000}, mrnumber = {1765541}, zbl = {0981.81063}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_2000_4_29_1_171_0/} }
TY - JOUR AU - Belorousski, Pavel AU - Pandharipande, Rahul TI - A descendent relation in genus 2 JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2000 SP - 171 EP - 191 VL - 29 IS - 1 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_2000_4_29_1_171_0/ LA - en ID - ASNSP_2000_4_29_1_171_0 ER -
%0 Journal Article %A Belorousski, Pavel %A Pandharipande, Rahul %T A descendent relation in genus 2 %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2000 %P 171-191 %V 29 %N 1 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_2000_4_29_1_171_0/ %G en %F ASNSP_2000_4_29_1_171_0
Belorousski, Pavel; Pandharipande, Rahul. A descendent relation in genus 2. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 29 (2000) no. 1, pp. 171-191. http://archive.numdam.org/item/ASNSP_2000_4_29_1_171_0/
[AV]
- , in preparation.[BM] YU. MANIN, Stacks of stable maps and Gromov-Witten invariants, Duke Math. J. 85 (1996), 1-60. | MR | Zbl
-[B] Chow rings of moduli spaces of pointed elliptic curves, Ph.D. thesis, University of Chicago, 1998.
,[CH] Counting plane curves of any genus, Invent. Math. 131 (1998), 345-392. | MR | Zbl
- ,[D] Geometry of 2D topological field theories, In "Integrable Systems and Quantum Groups" (Montecatini Terme, 1993), Lecture Notes in Math. 1620, Springer, Berlin, 1996, pp. 120-348. | MR | Zbl
,[DZ] Bihamiltonian hierarchies in 2D Topological Field Theory at one-loop approximation, preprint, hep-th/9712232. | Zbl
- ,[EHX] Quantum cohomology and Virasoro algebra, Phys. Lett. B 402 (1997), 71-80. | MR | Zbl
- - ,[EX] Quantum cohomology at higher genus: toplogical recursion relations and virasoro conditions, Adv. Theor. Math. Phys. 2 (1998), 219-229. | MR | Zbl
- ,[EH] The Kodaira dimension of the moduli space of curves of genus ≽ 23, Invent. Math. 90 (1987), 359-387. | EuDML | Zbl
- ,[Fa] Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians, preprint, alg-geom/9706006. | MR
,[FP] Notes on stable maps and quantum cohomology, Algebraic Geometry-Santa Cruz 1995, 45-96, Proc. Sympos. Pure Math., 62, Part 2, Amer. Math. Soc., Providence, RI, 1997. | MR | Zbl
- ,[G1] Intersection theory on M1,4 and elliptic Gromov-Witten invariants, J. Amer. Math. Soc. 10 (1997), 973-998. | MR | Zbl
,[G2] Topological recursion relations in genus 2, in "Integrable systems and algebraic geometry (Kobe/Kyoto, 1997)", World Sci. Publishing, River Edge, NJ, pp. 73-106. | MR | Zbl
,[Gi] Equivariant Gromov-Witten invariants, Internat. Math. Res. Notices 1996, no. 13, 613-663. | MR | Zbl
,[Gr] Ph.D. thesis, UCLA, 1998.
,[GP1] Localization of virtual classes, Invent. Math. 135 (1999), 487-518. | MR | Zbl
- ,[GP2]
- , in preparation.[HM] On the Kodaira dimension of the moduli space of curves, Invent. Math. 67 (1982), 23-86. | MR | Zbl
- ,[KK] Intersection numbers and rank one Cohomological Field Theories in genus one, Comm. Math. Phys. 194 (1998), 651-674. | MR | Zbl
- ,[Ke] Intersection theory of moduli space of stable N-pointed curves of genus zero, Trans. Amer. Math. Soc. 330 (1992), 545-574. | MR | Zbl
,[Ko] Enumeration of rational curves via torus actions, In "The moduli Space of Curves", R. Dijkgraaf - C. Faber - G. van der Geer (eds.) Birkhauser, 1995, pp. 335-368. | MR | Zbl
,[KM1] Gromov-Witten classes, quantum cohomology, and enumerative geometry, Commun. Math. Phys. 164 (1994), 525-562. | MR | Zbl
- ,[KM2] Quantum cohomology of a product, with an appendix by R. Kaufmann, Invent. Math. 124 (1996), 313-339. | MR | Zbl
- ,[KM3] Relations between the correlators of the topological sigma-model coupled to gravity, Comm. Math. Phys. 196 (1998), 385-398. | MR | Zbl
- ,[P] A Geometric Construction of Getzler's Relation in H*(M1,4, Q), Math. Ann. 313 (1999), 715-729 (electronic). | MR | Zbl
,[R] The degree of a Severi variety, Bull. Amer. Math. Soc. 17 (1987), 125-128. | MR | Zbl
,[RT1] A mathematical theory of quantum cohomology, J. Diff. Geom. 42 (1995), 259-367. | MR | Zbl
- ,[RT2] Higher genus symplectic invariants and sigma model coupled with gravity, Invent. Math. 130 (1997), 455-516. | MR | Zbl
- ,[V] Chow groups of quotient varieties, J. Algebra 107 (1987), 410-424. | MR | Zbl
,[W] Two-dimensional gravity and intersection theory on moduli space, Surveys in differential geometry (Cambridge, MA, 1990), 243-310. | MR | Zbl
,