Les équations de Seiberg-Witten sur une surface complexe non Kählérienne

Communications in Analysis and Geometry

Volumn 6, Issue 1, 1998, Pages 173-197

  Biquard, Olivier ^a  

^a CENTRE DE MATHÉMATIQUES LAURENT SCHWARTZ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000907951     PISSN: 10198385     EISSN: None     Source Type: Journal    
DOI: 10.4310/CAG.1998.v6.n1.a6     Document Type: Article

References (22)

1. W. Barth, C. Peters and A. Van de Ven, Compact complex surfaces, Springer-Verlag (1984).
2. N. Berline, E. Getzler and M. Vergne, Heat kernels and Dirac operators, Springer-Verlag (1992).
3. S. Bradlow, Vortices for holomorphic line bundles over closed Kähler manifolds, Comm. Math. Phys. 135 (1990) 1-17.
4. ∞ properties of Kähler surfaces, New York J. Math. 2 (1996) 103-146.
5. N.P. Buchdahl, Hermitian-Einstein connections and stable vector bundles over compact complex surfaces, Math. Ann. 280 (1988) 625-648.
6. R. Friedman and J.W. Morgan, Smooth four-manifolds and complex surfaces, Springer-Verlag (1994).
7. R. Friedman and J.W. Morgan, Algebraic surfaces and Seiberg-Witten invariants, J. Algebraic Geom. 6 (1997) 445-479.
8. R. Friedman and J.W. Morgan, Obstruction bundles, semiregularity, and Seiberg-Witten invariants, Comm. Anal. Geom. (to appear).
9. O. García-Prada, Invariant connections and vortices, Comm. Math. Phys. 156 (1993) 527-546.
10. P. Gauduchon, Le théorème de l'excentricité nulle, C. R. Acad. Sci. Paris 285 (1977) 387-390.
11. P. Gauduchon, Hermitian connections and Dirac operators, Boll. Un. Mat. Ital. 7 (1997) 11-8, Suppl. Jasc. 2, 257-288.
12. R. Harvey and H.B. Lawson, Jr. , An intrinsic characterization of Kähler manifolds, Invent. Math. 74 (1983) 169-198.
13. K. Kodaira, On the structure of compact complex analytic surfaces, I., Amer. J. Math. 86 (1964) 751-798.
14. D. Kotschick, J.W. Morgan and C.H. Taubes, Four-manifolds without symplectic structures but with nontrivial Seiberg-Witten invariants, Math. Res. Lett. 2 (1995) 119-124.
15. P.B. Kronheimer and T.S. Mrowka, The genus of embedded surfaces in the projective plane, Math. Res. Lett. 1 (1994) 797-808.
16. C. Okonek and A. Teleman, Les invariants de Seiberg-Witten et la conjecture de Van de Ven, C. R. Acad. Sci. Paris 321 (1995) 457-461.
17. C. Okonek and A. Teleman, The coupled Seiberg-Witten equations, vortices, and moduli spaces of stable pairs, Internat. J. Math. 6 (1995) 893-910.
18. C.H. Taubes, The Seiberg-Witten invariants and symplectic forms, Math. Res. Lett. 1 (1994) 809-822.
19. C.H. Taubes, More constraints on symplectic forms from Seiberg-Witten invariants, Math. Res. Lett. 2 (1995) 9-13.
20. C.H. Taubes, The Seiberg-Witten and Gromov invariants, Math. Res. Lett. 2 (1995) 221-238.
21. W. Thurston, Some simple examples of symplectic manifolds, Proc. Amer. Math. Soc. 55 (1976) 467-468.
22. E. Witten, Monopoles and four-manifolds, Math. Res. Lett. 1 (1994) 769-796.