Yang-Mills connections over a complex surface and harmonic curvature
Itoh, Mitsuhiro
Compositio Mathematica, Tome 61 (1987), p. 95-106 / Harvested from Numdam
Publié le : 1987-01-01
@article{CM_1987__62_2_95_0,
     author = {Itoh, Mitsuhiro},
     title = {Yang-Mills connections over a complex surface and harmonic curvature},
     journal = {Compositio Mathematica},
     volume = {61},
     year = {1987},
     pages = {95-106},
     mrnumber = {898730},
     zbl = {0625.53031},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1987__62_2_95_0}
}
Itoh, Mitsuhiro. Yang-Mills connections over a complex surface and harmonic curvature. Compositio Mathematica, Tome 61 (1987) pp. 95-106. http://gdmltest.u-ga.fr/item/CM_1987__62_2_95_0/

1 N. Aronszajn: A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order. J. Math. Pure et Appl. 35 (1957) 235-249. | MR 92067 | Zbl 0084.30402

2 M.F. Atiyah, N.J. Hitchin and I.M. Singer: Self-duality in four dimensional Riemannian geometry. Proc. Roy. Soc. London, Ser. A 362 (1978) 425-461. | MR 506229 | Zbl 0389.53011

3 J.P. Bourguignon And H.B. Lawson: Stability and isolation phenomena for Yang-Mills fields. Commun. Math. Phys. 79 (1981) 189-230. | MR 612248 | Zbl 0475.53060

4 S.K. Donaldson: An application of gauge theory to four dimensional topology. J. Differential Geometry 18 (1983) 279-315. | MR 710056 | Zbl 0507.57010

5 S.K. Donaldson: Anti self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles, Proc. London Math. Soc. (3) 50 (1985) 1-26. | MR 765366 | Zbl 0529.53018

6 D.S. Freed and K. Uhlenbeck: Instantons and four-manifolds. New York: Springer-Verlag (1984). | MR 757358 | Zbl 0559.57001

7 M. Itoh: On the moduli space of anti-self-dual Yang-Mills connections on Kähler surfaces. Pub. R.I.M.S. Kyoto 19 (1983) 15-32. | MR 700938 | Zbl 0536.53065

8 M. Itoh: The moduli space of Yang-Mills connections over a Kähler surface is a complex manifold. Osaka J. Math. 22 (1985) 845-862. | MR 815453 | Zbl 0567.53048

9 S. Kobayashi: Curvature and stability of vector bundles. Proc. Japan Acad. Ser. A, Math. Sci. 58 (1982) 158-162. | MR 664562 | Zbl 0538.32021

10 S. Kobayashi, Y. Ohnita and M. Takeuchi: On instability of Yang-Mills connections. Math. Z. 193 (1986) 165-189. | MR 856147 | Zbl 0634.53022

11 K. Kodaira and J. Morrow: Complex manifolds. Holt, Rinehalt and Winston (1971). | MR 302937 | Zbl 0325.32001

12 Min-Oo: An L2-isolation theorem for Yang-Mills fields. Comp. Math. 47 (1982) 153-163. | Numdam | MR 677017 | Zbl 0519.53042

13 C. Shen: The gap phenomena of Yang-Mills fields over the complete manifold. Math. Zeit. 189 (1982) 69-77. | MR 656222 | Zbl 0471.58031

14 C. Taubes: Stability in Yang-Mills theories. Commun. Math. Phys. 91 (1983) 235-263. | MR 723549 | Zbl 0524.58020