Construction de sous-variétés symplectiques

 Access to full text

 Full (PDF)

1. [Am-Bo] J. Amorós, F. Bogomolov, L. Katzarkov, T. Pantev - Symplectic Lefschetz fibrations with arbitrary fundamental groups, preprint math/9810042. 
2. [Ar-V] V. Arnold, A. Varchenko, S. Goussein-Zadé - Singularités des applications différentiables, Mir, Moscou1986. 
3. [Aud] M. Audin - Cohomologie quantique, Sém. Bourbaki, exp. n° 806, nov. 1995, Astérisque241 (1997), 29-58. Zbl0880.53026
4. [Aur1] D. Auroux - Asymptotically holomorphic families of symplectic submanifolds, GAFA7 (1997), 971-995. Zbl0912.53020
5. [Aur2] D. Auroux - Symplectic 4-manifolds as branched coverings of CP2, prépublication Ecole Polytechnique, 1998. 
6. [Be-Ri] R. Benedetti, J.-J. Risler - Real algebraic and semi-algebraic sets, Hermann, 1990. Zbl0694.14006
7. [Bi] J. Birman - Braids, links and the mapping class group, PrincetonAnn. Math. Stud. 82, 1975. Zbl0305.57013
8. [Bo-K] F. Bogomolov, L. Katzarkov - Symplectic four-manifolds and projective surfaces, Topology and its Appl.88 (1998), 79-109. Zbl1054.57500
9. [D1] S.K. Donaldson - Symplectic submanifolds and almost-complex geometry, J. Diff. Geom.44 (1996), 666-705. Zbl0883.53032
10. [D2] S.K. Donaldson - en préparation. 
11. [Ge] S. Gervais - Presentations and central extensions of mapping class groups, Trans. Amer. Math. Soc.348 (1996), 3097-3132. Zbl0861.57023
12. [Go] R. Gompf - New constructions of symplectic manifolds, Annals of Math.142 (1995), 527-595. Zbl0849.53027
13. [Gri-Ha] P. Griffiths, J. Harris - Principles of algebraic geometry, Wiley, 1978. Zbl0836.14001
14. [Gr1] M. Gromov - Partial differential relations, Springer Ergebnisse 9, 1986. Zbl0651.53001
15. [Gr2] M. Gromov - Pseudo holomorphic curves in symplectic manifolds, Invent. Math.82 (1985), 307-347. Zbl0592.53025
16. [He-Lei] G.M. Henkin, J. Leiterer - Theory of functions on complex manifolds, Akademie-Verlag, Berlin1984. Zbl0573.32001
17. [Hi] J.A. Hillman - The algebraic characterization of geometric 4-manifolds, London Math. Soc. Lect. Notes198, Cambridge Univ. Press., 1994. Zbl0812.57001
18. [Ka] A. Kas - On the deformation type of regular elliptic surfaces, Complex analysis and algebraic geometry, ed. by W.L. Bailey and T. Shioda, Iwanami-Shoten and Cambridge Univ. Press1978, 107-112. 
19. [Ki] R. Kirby - Problems in low-dimensional topology, Geometric topology2, W.H. Kazez ed., Studies in Advanced Math., Amer. Math. Soc. and International Press1997, 35-473. Zbl0888.57014
20. [Kod1] K. Kodaira - On Kähler varieties of restricted type. An intrinsic characterization of algebraic varieties, Annals of Math.60 (1954), 28-48. Zbl0057.14102
21. [Kod2] K. Kodaira - On the structure of compact complex analytic surfaces, Amer. J. Math.86 (1964), 751-798. Zbl0137.17501
22. [Kot] D. Kotschick - The Seiberg-Witten invariants of symplectic four-manifolds (after C.H. Taubes), Sém. Bourbaki, exp. n° 812, fév. 1996, Astérisque241 (1997), 195-220. Zbl0882.57026
23. [La-Mc] F. Lalonde, D. Mcduff - J-curves and the classification of symplectic fourmanifolds, Contact and symplectic geometry, ed. C.C. Thomas, Publ. Newton Inst.8 (1996), Cambridge Univ. Press. Zbl0867.53028
24. [Lef] S. Lefschetz - L'analysis situs dans la géométrie algébrique, Gauthier-Villars1924. JFM50.0663.01
25. [Lu] F. Luo, A presentation of the mapping class groups, Math. Res. Letters4 (1997), 735-739. Zbl0891.20028
26. [Math] O. Mathieu - Harmonic cohomology classes of symplectic manifolds, Comment. Math. Helv.70 (1995), 1-9. Zbl0831.58004
27. [Mats] Y. Matsumoto - Lefschetz fibrations of genus two - A topological approach, Proc. of the 37th Taniguchi Symposium on Topology and Teichmüller spaces, World1996, 123-148. Zbl0921.57006
28. [McD] D. Mcduff - Notes on ruled symplectic 4-manifolds, Trans. Amer. Math. Soc.645 (1994), 623-639. Zbl0810.53020
29. [Mo] B. Moishezon - Complex surfaces and connected sums of complex projective planes, SpringerLect. Notes in Math.603, 1977. Zbl0392.32015
30. [Pao] R. Paoletti, Symplectic subvarieties of projective fibrations over symplectic manifolds, preprint, Universitá di Pavia, 1998. 
31. [Ta] C.H. Taubes - SW ⇒ Gr, From the Seiberg-Witten equations to pseudoholomorphic curves, J. Amer. Math. Soc.9 (1996), 845-918. Zbl0867.53025
32. [Th] W. Thurston - Some simple examples of symplectic manifolds, Proc. Amer. Math. Soc.55 (1976), 467-468. Zbl0324.53031
33. [Y] Y. Yomdin - The geometry of critical and near-critical values of differentiable mappings, Math. Annalen264 (1983), 495-515. Zbl0507.57019