The Seiberg-Witten invariants of symplectic four-manifolds

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1. [1] D. Bennequin - Monopoles de Seiberg-Witten et conjecture de Thom [d'après Kronheimer, Mrowka, Witten, ...]. Séminaire Bourbaki, 48ème année 1995-96, n° 807. Zbl0881.57035
2. [2] O. Biquard - Les équations de Seiberg-Witten sur une surface complexe non kählérienne. Preprint 1995. MR1619842
3. [3] S.K. Donaldson - The orientation of Yang-Mills moduli spaces and 4-manifold topology. J. Differential Geometry26 (1987), 397-428. Zbl0683.57005MR910015
4. [4] S.K. Donaldson - Yang-Mills invariants of four-manifolds. In Geometry of LowDimensional Manifolds: 1, ed. S. K. Donaldson and C. B. Thomas, Cambridge Univ. Press1990. Zbl0836.57012MR1171888
5. [5] S.K. Donaldson - The Seiberg-Witten equations and 4-manifold topology, Bull. Amer. Math. Soc.33 (1996), 45-70. Zbl0872.57023MR1339810
6. [6] R. Fintushel and R.J. Stern - Immersed spheres in 4-manifolds and the immersed Thom conjecture. Proc. of Gökova Geometry-Topology Conference1994, Turkish J. of Math.19 (2) (1995), 27-39. Zbl0869.57016MR1349567
7. [7] P. Gauduchon - Hermitian connections and Dirac operators. Boll. Un. Mat. Ital. (to appear). Zbl0876.53015MR1456265
8. [8] R.E. Gompf - A new construction of symplectic manifolds. Annals of Math.142 (1995), 527-595. Zbl0849.53027MR1356781
9. [9] R.E. Gompf and T.S. Mrowka - Irreducible 4-manifolds need not be complex. Annals of Math.138 (1993), 61-111. Zbl0805.57012MR1230927
10. [10] M. Gromov - Pseudo-holomorphic curves in symplectic manifolds. Invent. Math.82 (1985), 307-347. Zbl0592.53025MR1554036
11. [11] K. Kodaira - On the structure of compact complex analytic surfaces, I. Amer. J. Math.86 (1964), 751-798. Zbl0137.17501MR187255
12. [12] D. Kotschick - On irreducible four-manifolds. Preprint alg-geom/9504012 (unpublished). 
13. [13] D. Kotschick, J.W. Morgan and C.H. Taubes - Four-manifolds without symplectic structures but with non-trivial Seiberg-Witten invariants. Math. Research Letters2 (1995),119-124. Zbl0853.57020MR1324695
14. [14] P.B. Kronheimer and T.S. Mrowka - The genus of embedded surfaces in the projective plane. Math. Research Letters1 (1994), 797-808. Zbl0851.57023MR1306022
15. [15] D. McDuff and D. Salamon - J-holomorphic curves and quantum cohomology. Amer. Math. Soc., Providence1994. Zbl0809.53002MR1286255
16. [16] D. Mumford - An algebraic surface with K ample, (K2) = 9, pg = q = 0. Amer. J. Math.101 (1979), 233-244. Zbl0433.14021MR527834
17. [17] Y. Ruan - Symplectic topology on algebraic 3-folds. J. Differential Geometry39 (1994), 215-227. Zbl0810.53021MR1258920
18. [18] C.H. Taubes - The Seiberg-Witten invariants and symplectic forms. Math. Research Letters1 (1994), 809-822. Zbl0853.57019MR1306023
19. [19] C.H. Taubes - More constraints on symplectic manifolds from Seiberg-Witten invariants. Math. Research Letters2 (1995), 9-14. Zbl0854.57019MR1312973
20. [20] C.H. Taubes - Seiberg-Witten equations and symplectic geometry. Lecture at the conference on Seiberg-Witten invariants, Princeton, January 16th, 1995. 
21. [21] C.H. Taubes - The Seiberg-Witten and the Gromov invariants. Math. Research Letters2 (1995), 221-238. Zbl0854.57020MR1324704
22. [22] C.H. Taubes - SW ⇒ Gr, From the Seiberg-Witten equations to pseudo-holomorphic curves. Jour. Amer. Math. Soc.9 (1996), 845-918. Zbl0867.53025
23. [23] C.H. Taubes - Counting pseudo-holomorphic submanifolds in dimension 4. J. Differential Geometry (to appear). Zbl0883.57020MR1438194
24. [24] C.H. Taubes - Gr ⇒ SW, From pseudo-holomorphic curves to Seiberg-Witten solutions. Preprint 1996. 
25. [25] C.H. Taubes - (in preparation). 
26. [26] W.P. Thurston - Some simple examples of symplectic manifolds. Proc. Amer. Math. Soc.55 (1976), 467-468. Zbl0324.53031MR402764
27. [27] A. Weil - Introduction à l'étude des variétés kählériennes, Hermann, Paris1958. Zbl0137.41103MR111056
28. [28] E. Witten - Monopoles and four-manifolds. Math. Research Letters1 (1994), 769- 796. Zbl0867.57029MR1306021

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