@incollection{SB_1995-1996__38__29_0,
author = {Audin, Mich\`ele},
title = {Cohomologie quantique},
booktitle = {S\'eminaire Bourbaki : volume 1995/96, expos\'es 805-819},
series = {Ast\'erisque},
note = {talk:806},
pages = {29--58},
year = {1997},
publisher = {Soci\'et\'e math\'ematique de France},
number = {241},
mrnumber = {1472534},
zbl = {0880.53026},
language = {fr},
url = {https://www.numdam.org/item/SB_1995-1996__38__29_0/}
}
TY - CHAP AU - Audin, Michèle TI - Cohomologie quantique BT - Séminaire Bourbaki : volume 1995/96, exposés 805-819 AU - Collectif T3 - Astérisque N1 - talk:806 PY - 1997 SP - 29 EP - 58 IS - 241 PB - Société mathématique de France UR - https://www.numdam.org/item/SB_1995-1996__38__29_0/ LA - fr ID - SB_1995-1996__38__29_0 ER -
Audin, Michèle. Cohomologie quantique, dans Séminaire Bourbaki : volume 1995/96, exposés 805-819, Astérisque, no. 241 (1997), Exposé no. 806, 30 p.. https://www.numdam.org/item/SB_1995-1996__38__29_0/
[1] , , Topological field theory and rational curves, Commun. Math. Phys. 151 (1993), 245-262. | Zbl | MR | DOI
[2] , , Quantum cohomology of partial flag manifolds, Commun. Math. Phys. 170 (1995), 503-528. | Zbl | MR | DOI
[3] , Symplectic and almost complex manifolds, in [4].
[4] , , EDS, Holomorphic curves in symplectic geometry, Progress in Math. 117, Birkhäuser, 1994. | Zbl | MR
[5] , , , Symplectic rigidity: Lagrangian submanifolds, in [4].
[6] , Quantum cohomology ring of toric manifolds, Astérisque 218 (1993), 9-34. | Zbl | MR
[7] , Conformal blocks, fusion rules and the Verlinde formula, Israel Math. Conferences Proc. 9 (1996), 75-96. | Zbl | MR
[8] , Quantum cohomology of complete intersections, Математическая физика, анализ, геометрия 2 (1995), 384-398. | Zbl
[9] , GW-invariants in algebraic geometry, preprint (1996).
[10] , , The intrinsic normal cone, preprint (1996). | MR | Zbl
[11] , Modular Schubert calculus, Advances in Math. (à paraître).
[12] , , , Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians, Journ. Amer. Math. Soc. 9 (1996), 529-571. | Zbl | MR | DOI
[13] , , , , A pair of Calabi- Yau manifolds as an exactly soluble superconformal field theory, Nucl. Phys. B359 (1991), 21-74. | Zbl | DOI
[14] , Quantum cohomology of flag varieties, IMRN 6 (1995), 263-277. | Zbl | MR | DOI
[15] , , Quantum cohomology of rational surfaces, in [17]. | Zbl | DOI
[16] , , Quantum intersection rings, in [17]. | Zbl | DOI
[17] , , , EDS, The moduli space of curves, Progress in Math. 129, Birkhäuser, 1995. | Zbl | MR
[18] , The orientation of Yang-Mills moduli spaces and 4-manifold topology, J. Diff. Geom. 26 (1987), 397-428. | Zbl | MR | DOI
[19] , , The geometry of four-manifolds, Oxford University Press, 1990. | Zbl | MR
[20] , Integrable systems and classification of 2-dimensional topological field theories in Integrable systems, the Verdier memorial conference, edited by O. BABELON, P. CARTIER, Y. KOSMANN-SCHWARZBACH, Progress in Math. 115, Birkhäuser, 1994, et Geometry of 2D topological field theories, Lecture Notes in Math. 1620, Springer, 1995. | Zbl | MR
[21] , Symplectic fixed points and holomorphic spheres, Comm. Math. Phys. 120 (1989), 575-611. | Zbl | MR | DOI
[22] , , Arnold conjecture and Gromov-Witten invarient (sic), preprint (1996). | MR | Zbl
[23] , , Notes on stable maps and quantum cohomology, preprint (1996). | MR | Zbl
[24] , Connexions linéaires, classes de Chern, théorème de Riemann-Roch, in [4]. | DOI
[25] , Homological geometry and mirror symmetry, in I.C.M. Zürich (1994), Birkhäuser, 1995, 473-480. | Zbl | MR
[26] , Equivariant Gromov-Witten invariants, IMRN (1996, à paraître). | Zbl | MR
[27] , , Quantum cohomolgy of flag manifolds and Toda lattices, Commun. Math. Phys. 168 (1995), 609-641. | Zbl | MR | DOI
[28] , Pseudo-holomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), 307-347. | Zbl | MR | EuDML | DOI
[29] , Frobenius manifolds, in Gauge Theory and Symplectic Geometry, Séminaire de Mathématiques Supérieures, Montréal, 1995, Kluwer, à paraître. | Zbl | MR
[30] , , , On genericity for holomorphic curves in 4-dimensional almost-complex manifolds, The Journ. of Geom. Anal. (à paraître). | Zbl | MR
[31] , , Floer homology and Novikov rings, in the Floer memorial volume, Progress in Math. 133, Birkhäuser, 1995. | Zbl | MR
[32] , Counting rational curves on rational surfaces, preprint (1994). | MR | Zbl | DOI
[33] , Enumeration of rational curves via torus actions, in [17]. | Zbl | DOI
[34] , Mirror symmetry in dimension 3, in Séminaire Bourbaki 1994- 95, Astérisque 237 (1996). | Numdam | Zbl | MR | EuDML
[35] , , Gromov-Witten classes, quantum cohomology and enumerative geometry, Commun. Math. Phys. 164 (1994), 525-562. | Zbl | MR | DOI
[36] , The Seiberg-Witten invariants of symplectic four-manifolds [after C. H. Taubes], in Séminaire Bourbaki 1995-96, Astérisque, ce volume. | Numdam | Zbl | MR | EuDML
[37] , , The classification of ruled symplectic 4-manifolds, Math. Res. Letters (1996), à paraître. | Zbl | MR
[38] , , The quantum cohomology of homogeneous varieties, preprint (1995). | MR | Zbl
[39] , , Virtual moduli cycles and -invariants, preprint (1996).
[40] , Associativity of quantum multiplication, preprint (1995). | MR | Zbl
[41] , Generating functions in algebraic geomerty and sums over trees, in [17]. | Zbl
[42] , Examples of symplectic structures, Invent. Math. 89 (1987), 13-36. | Zbl | MR | EuDML | DOI
[43] , The structure of rational and ruled symplectic -manifolds, Journ. Amer. Math. Soc. 3 (1990), 679-712. | Zbl | MR
[44] , Singularities and positivity of intersections of -holomorphic curves, in [4]. | MR | DOI
[45] , , -holomorphic curves and quantum cohomology, Amer. Math. Soc., 1994, retirage corrigé, 1995. | Zbl | MR
[46] , Mirror symmetry and rational curves on quintic threefolds: a guide for mathematicians, Journ. Amer. Math. Soc. 6 (1993), 223-247. | Zbl | MR | DOI
[47] , Multivalued functions and functionals - an analogue of the Morse theory, Soviet Math. Dokl. 24 (1981), 222-225. | Zbl | MR
[48] , Compactness, in [4]. | DOI
[49] , , , Symplectic Floer-Donaldson theory and quantum cohomology, preprint (1995). | MR | Zbl
[50] , Symplectic topology on algebraic 3-folds, Journal of Diff. Geometry 39 (1994), 215-227. | Zbl | MR | DOI
[51] , , A mathematical theory of quantum cohomology (annonce), Math. Res. Letters 1 (1994), 269-278, et A mathematical theory of quantum cohomology, Journal of Diff. Geometry 42 (1995), 259-367. | Zbl | MR | DOI
[52] , Gromov-Witten invariants for general symplectic manifolds, preprint (1996). | MR
[53] , , On quantum cohomology rings of Fano manifolds and a formula of Vafa and Intriligator, preprint (1994). | MR | Zbl
[54] , The Seiberg-Witten and the Gromov Invariants, Math. Res. Letters 2 (1995), 221-238. | Zbl | MR | DOI
[55] , Quantum cohomology and its associativity, preprint (1995). | MR | Zbl
[56] , Topological mirrors and quantum rings, in Essays on Mirror manifolds, S. T. Yau Ed., International Press, Hong-Kong, 1992. | Zbl | MR
[57] , Symétrie miroir, Panoramas et Synthèses, volume 2, Société Mathématique de France, 1996. | Zbl | MR
[58] , A mathematical proof of Aspinwall-Morrison formula, Compositio Math. (à paraître). | Numdam | Zbl
[59] , Two dimensional gravity and intersection theory on moduli space, Surveys in Diff. Geometry 1 (1991), 243-310. | Zbl | MR | DOI
[60] , The Verlinde algebra and the cohomology of the Grassmannian, preprint (1993). | MR | Zbl







