The Seiberg-Witten invariants of symplectic four-manifolds [after C.H. Taubes]

Asterisque

Volumn 241, Issue , 1997, Pages 195-220

  Kotschick, Dieter ^a  

^a Mathematisches Institut   (Switzerland)

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[No Author keywords available]

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EID: 0009981614     PISSN: 03031179     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article

References (28)

1. D. Bennequin - Monopoles de Seiberg-Witten et conjecture de Thom [d'après Kronheimer, Mrowka, Witten, ...]. Séminaire Bourbaki, 48ème année 1995-96, no 807.
2. O. Biquard - Les équations de Seiberg-Witten sur une surface complexe non kählérienne. Preprint 1995.
3. S. K. Donaldson - The orientation of Yang-Mills moduli spaces and 4-manifold topology. J. Differential Geometry 26 (1987), 397-428.
4. S. K. Donaldson - Yang-Mills invariants of four-manifolds. In Geometry of Low-Dimensional Manifolds: 1, ed. S. K. Donaldson and C. B. Thomas, Cambridge Univ. Press 1990.
5. S. K. Donaldson - The Seiberg-Witten equations and 4-manifold topology, Bull. Amer. Math. Soc. 33 (1996), 45-70.
6. R. Fintushel and R. J. Stern - Immersed spheres in 4-manifolds and the immersed Thom conjecture. Proc. of Gökova Geometry-Topology Conference 1994, Turkish J. of Math. 19 (2) (1995), 27-39.
7. P. Gauduchon - Hermitian connections and Dirac operators. Boll. Un. Mat. Ital. (to appear).
8. R. E. Gompf - A new construction of symplectic manifolds. Annals of Math. 142 (1995), 527-595.
9. R. E. Gompf and T. S. Mrowka - Irreducible 4-manifolds need not be complex. Annals of Math. 138 (1993), 61-111.
10. M. Gromov - Pseudo-holomorphic curves in symplectic manifolds. Invent. Math. 82 (1985), 307-347.
11. K. Kodaira - On the structure of compact complex analytic surfaces, I. Amer. J. Math. 86 (1964), 751-798.
12. D. Kotschick - On irreducible four-manifolds. Preprint alg-geom/9504012 (unpublished).
13. D. Kotschick, J. W. Morgan and C. H. Taubes - Four-manifolds without symplectic structures but with non-trivial Seiberg-Witten invariants. Math. Research Letters 2 (1995), 119-124.
14. P. B. Kronheimer and T. S. Mrowka - The genus of embedded surfaces in the projective plane. Math. Research Letters 1 (1994), 797-808.
15. D. McDuff and D. Salamon - J-holomorphic curves and quantum cohomology. Amer. Math. Soc., Providence 1994.
16. g = q = 0. Amer. J. Math. 101 (1979), 233-244.
17. Y. Ruan - Symplectic topology on algebraic 3-folds. J. Differential Geometry 39 (1994), 215-227.
18. C. H. Taubes - The Seiberg-Witten invariants and symplectic forms. Math. Research Letters 1 (1994), 809-822.
19. C. H. Taubes - More constraints on symplectic manifolds from Seiberg-Witten invariants. Math. Research Letters 2 (1995), 9-14.
20. C. H. Taubes - Seiberg-Witten equations and symplectic geometry. Lecture at the conference on Seiberg-Witten invariants, Princeton, January 16th, 1995.
21. C. H. Taubes - The Seiberg-Witten and the Gromov invariants. Math. Research Letters 2 (1995), 221-238.
22. C. H. Taubes - SW ⇒ Gr, From the Seiberg-Witten equations to pseudo-holomorphic curves. Jour. Amer. Math. Soc. 9 (1996), 845-918.
23. C. H. Taubes - Counting pseudo-holomorphic submanifolds in dimension 4. J. Differential Geometry (to appear).
24. C. H. Taubes - Gr ⇒ SW, From pseudo-holomorphic curves to Seiberg-Witten solutions. Preprint 1996.
25. C. H. Taubes - (in preparation).
26. W. P. Thurston - Some simple examples of symplectic manifolds. Proc. Amer. Math. Soc. 55 (1976), 467-468.
27. A. Weil - Introduction à l'étude des variétés kählériennes, Hermann, Paris 1958.
28. E. Witten - Monopoles and four-manifolds. Math. Research Letters 1 (1994), 769-796.