Rational curves on hypersurfaces
Séminaire Bourbaki : volume 1997/98, exposés 835-849, Astérisque, no. 252 (1998), Exposé no. 848, 34 p.
@incollection{SB_1997-1998__40__307_0,
     author = {Pandharipande, Rahul},
     title = {Rational curves on hypersurfaces},
     booktitle = {S\'eminaire Bourbaki : volume 1997/98, expos\'es 835-849},
     series = {Ast\'erisque},
     note = {talk:848},
     pages = {307--340},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {252},
     year = {1998},
     mrnumber = {1685628},
     zbl = {0932.14029},
     language = {en},
     url = {http://www.numdam.org/item/SB_1997-1998__40__307_0/}
}
TY  - CHAP
AU  - Pandharipande, Rahul
TI  - Rational curves on hypersurfaces
BT  - Séminaire Bourbaki : volume 1997/98, exposés 835-849
AU  - Collectif
T3  - Astérisque
N1  - talk:848
PY  - 1998
SP  - 307
EP  - 340
IS  - 252
PB  - Société mathématique de France
UR  - http://www.numdam.org/item/SB_1997-1998__40__307_0/
LA  - en
ID  - SB_1997-1998__40__307_0
ER  - 
%0 Book Section
%A Pandharipande, Rahul
%T Rational curves on hypersurfaces
%B Séminaire Bourbaki : volume 1997/98, exposés 835-849
%A Collectif
%S Astérisque
%Z talk:848
%D 1998
%P 307-340
%N 252
%I Société mathématique de France
%U http://www.numdam.org/item/SB_1997-1998__40__307_0/
%G en
%F SB_1997-1998__40__307_0
Pandharipande, Rahul. Rational curves on hypersurfaces, dans Séminaire Bourbaki : volume 1997/98, exposés 835-849, Astérisque, no. 252 (1998), Exposé no. 848, 34 p. http://www.numdam.org/item/SB_1997-1998__40__307_0/

[AM] P. Aspinwall and D. Morrison - Topological field theory and rational curves, Comm. Math. Phys. 151 (1993), 245-262. | DOI | MR | Zbl

[Be] A. Beauville - Quantum cohomology of complete intersections, Mathematical Physics, Analysis, and Geometry 168 (1995), 384-398. | MR | Zbl

[B] K. Behrend - Gromov-Witten invariants in algebraic geometry, Invent. Math. 127 (1997), 601-617. | DOI | MR | Zbl

[BF] K. Behrend and B. Fantechi - The intrinsic normal cone, Invent. Math. 128 (1997), 45-88. | DOI | MR | Zbl

[BM] K. Behrend and Yu. Manin - Stacks of stable maps and Gromov-Witten invariants, Duke J. Math. 85 (1996) no. 1, 1-60. | DOI | MR | Zbl

[BDPP] G. Bini, C. De Concini, M. Polito, and C. Procesi - Givental's work, preprint 1998. | MR

[COGP] P. Candelas, X. De La Ossa, P. Green and L. Parkes - A pair of Calabi-Yau manifolds as an exactly soluble superconformal field theory, Nuclear Physics B359 (1991), 21-74. | DOI | MR | Zbl

[CK] D. Cox and S. Katz - Mirror symmetry and algebraic geometry, to appear in AMS Surveys and Monographs in Mathematics. | MR | Zbl

[D] B. Dubrovin - The geometry of 2D topological field theories, in Integrable systems and quantum groups, LNM 1620, Springer-Verlag, 1996, 120-348. | MR | Zbl

[ES1] G. Ellingsrud and S. Strømme - The number of twisted cubics on the general quintic threefold, Math. Scand. 76 (1995), no. 1, 5-34. | DOI | EuDML | MR | Zbl

[ES2] G. Ellingsrud and S. Strømme - Bott's formula and enumerative geometry, Jour. AMS 9 (1996), no. 1, 175-193. | MR | Zbl

[F] W. Fulton - Intersection theory, Springer-Verlag, 1980. | MR | Zbl

[FP] W. Fulton and R. Pandharipande - Notes on stable maps and quantum cohomology, in Proceedings of symposia in pure mathematics: Algebraic geometry Santa Cruz 1995, (J. Kollár, R. Lazarsfeld, D. Morrison, eds.), Volume 62, Part 2, 45-96. | MR | Zbl

[G1] A. Givental - Equivariant Gromov-Witten invariants, Int. Math. Res. Notices 13 (1996), 613-663. | DOI | MR | Zbl

[G2] A. Givental - A mirror theorem for toric complete intersections, preprint 1997. | MR | Zbl

[G3] A. Givental - Elliptic Gromov-Witten invariants and the generalized mirror conjecture, preprint 1998. | MR | Zbl

[GP] T. Graber and R. Pandharipande - Localization of virtual classes, Invent. Math., to appear. | MR | Zbl

[GMP] B. Greene, D. Morrison, and R. Plesser - Mirror manifolds in higher dimension, Comm. Math. Phys. Vol. 173 (1995), 559-598. | DOI | MR | Zbl

[K] S. Katz - On the finiteness of rational curves on quintic threefolds, Compositio Math. 60 (1986), 151-162. | EuDML | Numdam | MR | Zbl

[KJ1] S. Kleiman and T. Johnsen - Rational curves of degree at most 9 on a general quintic threefold, Comm. Algebra 24 (1996), no. 8, 2721-2753. | DOI | MR | Zbl

[KJ2] S. Kleiman and T. Johnsen - Toward Clemens' conjecture in degrees between 10 and 24, Serdica Math J. 23 (1997), 131-142. | EuDML | MR | Zbl

[Ki] B. Kim - Quantum hyperplane section theorem for homogeneous spaces, preprint 1998. | MR | Zbl

[Ko] M. Kontsevich - Enumeration of rational curves via torus actions, in The moduli space of curves, (R. Dijkgraaf, C. Faber, and G. van der Geer, eds.), Birkhauser, 1995, 335-368. | MR | Zbl

[KM] M. Kontsevich and Yu. Manin - Gromov-Witten classes, quantum cohomology, and enumerative geometry, Commun. Math. Phys. 164 (1994), 525-562. | DOI | MR | Zbl

[LLY] B. Lian, K. Liu, and S.-T. Yau - Mirror principle I, Asian J. Math. Vol. 1, no. 4 (1997), 729-763. | DOI | MR | Zbl

[LT] J. Li and G. Tian - Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties, Jour. AMS 11 (1998), no. 1, 119-174. | MR | Zbl

[M] Yu. Manin - Generating functions in algebraic geometry and sums over trees, in The moduli space of curves, (R. Dijkgraaf, C. Faber, and G. van der Geer, eds.), Birkhauser, 1995, 401-417. | MR | Zbl

[Mo] D. Morrison - Mirror symmetry and rational curves on quintic threefolds: A guide for mathematicians, Jour. AMS 6 (1993), 223-247, | MR | Zbl

[RT] Y. Ruan and G. Tian - A mathematical theory of quantum cohomology, J. Diff. Geom. 42 (1995), 259-367. | DOI | MR | Zbl

[V] I. Vainsencher - Enumeration of n-fold tangent hyperplanes to a surface, J. Alg. Geometry 4 (1995), 503-526. | MR | Zbl

[Vo] C. Voisin - A mathematical proof of a formula of Aspinwall and Morrison, Comp. Math. 104 (1996), n° 2, 135-151. | EuDML | Numdam | MR | Zbl

[W1] E. Witten - Mirror manifolds and topological field theory, in: Essays on Mirror Manifolds (S.-T. Yau, ed.), International Press, Hong Kong 1992, 120-159. | MR | Zbl

[W2] E. Witten - Two dimensional gravity and intersection theory on moduli space, Survey in Diff. Geom. 1 (1991), 243-310. | MR | Zbl