Bibliographie du Groupe de Travail
``Symétrie Miroir, d'après Kontsevich''
Ouvrages de référence : géométrie
complexe
- P. Griffiths, J. Harris, Principles of Algebraic Geometry,
Wiley-Interscience, New York, 1978.
- J. Bertin, J.P. Demailly, L. Illusie, C. Peters,
Introduction à la Théorie de Hodge,
Panoramas et Synthèses 3, S.M.F., 1996.
- A. Lascoux, M. Berger, Variétés Kählériennes Compactes,
Lecture Notes in Math. 154, Springer, 1970.
- P. Griffiths, Topics in Transcendental Algebraic Geometry,
Annals of Math. Studies 106, Princeton Univ. Press, 1984.
- C. Nash, Differential Topology and Quantum Field Theory,
Academic Press, London, 1991.
- D. Sundararaman, Moduli, Deformations and Classifications of
Compact Complex Manifolds, Research Notes in Mathematics 45,
Pitman, Boston, 1980.
Ouvrages de référence : géométrie
symplectique
- D. McDuff, D. Salamon, Introduction to Symplectic Topology,
Oxford University Press, 1995.
- D. McDuff, D. Salamon, J-holomorphic Curves and Quantum
Cohomology, Univ. Lecture Series 6, A.M.S., 1994.
- V. Arnold, Les Méthodes Mathématiques de la Mécanique
Classique, Editions Mir, Moscou, 1976.
- V. Guillemin, S. Sternberg, Symplectic Techniques in
Physics, Cambridge Univ. Press, 1984.
Ouvrages et articles sur la symétrie miroir
- C. Voisin, Symétrie Miroir, Panoramas et Synthèses
2, S.M.F., 1996.
- B. Greene, S.T. Yau, Mirror Symmetry II,
AMS/IP Studies in Advanced Math., vol. 1, A.M.S., 1997.
- D. R. Morrison, Mirror Symmetry and Rational Curves on Quintic
Threefolds : A Guide for Mathematicians, J. Amer. Math. Soc.
6 (1993), 223-247.
- M. Kontsevich, Homological Algebra of Mirror Symmetry,
Proceedings International Congress of Mathematicians (Zurich, 1994),
Birkhäuser, 1995, pp. 120-139.
- M. Kontsevich, Mirror Symmetry in Dimension 3,
Séminaire Bourbaki 801 (1995), Astérisque 237
(1996), 275-293.
- M. Kontsevich, Yu. Manin, Gromov-Witten Classes, Quantum
Cohomology, and Enumerative Geometry, Mirror Symmetry II,
AMS/IP Studies in Advanced Math., vol. 1, A.M.S., 1997, pp. 607-653.
- G. Tian, Quantum Cohomology and its Associativity,
Current Developments in Mathematics 1995 (R. Bott et al Eds.),
International Press, 1994.
Preprints
- C. Vafa, Geometric Physics,
Proceedings International Congress of Mathematicians (Berlin, 1998), Vol. I
(à paraître) :
Postscript compressé,
DVI
- A. Givental, The Mirror Formula for Quintic Threefolds,
preprint math.AG/9807070 :
Postscript compressé
- G. Bini, C. de Concini, M. Polito, C. Procesi, On the work of
Givental relative to mirror symmetry, preprint
math.AG/9805097 :
Postscript compressé
- R. Pandharipande, Rational curves on hypersurfaces [after
A. Givental], preprint
math.AG/9806133 :
Postscript compressé
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