Algebro-geometric analogues of Donaldson's polynomials

Arbarello, E., Cornalba, M., Griffiths, P.A., Harris, J.: Geometry of algebraic curves, vol. 1. (Grundlehren Math. Wiss., Bd. 267) Berlin Heidelberg New York: Springer 1985

Atiyah, M.F.: Complex analytic connections. Trans. Amer. Math. Soc.85, 181?207 (1957)

Beauville, A.: Vari�t�s K�hleriennes dont la premi?re classe de Chern est nulle. J. Differ. Geom.18, 755?782 (1983)

Donaldson, S.K.: Infinite determinants, stable bundles and curvature. Duke Math. J.54 (No. 1), 231?247 (1987)

Donaldson, S.K.: Polynomial invariants for smooth four-manifolds. Topology29 (No. 3), 257?315 (1990)

Drezet, J.M., Narasimhan, M.S.: Groupe de Picard des vari�t�s de modules de fibr�s semi-stables sur les courbes alg�briques. Invent. Math.97, 53?94 (1989)

Friedman, R.: Rank two vector bundles over regular elliptic surfaces. Invent. Math.96, 283?332 (1989)

Friedman, R.: Vector bundles over surfaces. (to be published)

Friedman, R., Moishezon, B., Morgan, J.: On theC ? invariance of the canonical class of certain algebraic surfaces. Bull. Am. Math. Soc.17, 283?286 (1987)

Friedman, R., Morgan, J.: Smooth four-manifolds and complex surfaces. (to be published)

Gieseker, D.: On the moduli of vector bundles on an algebraic surface. Ann. Math.106, 45?60 (1977)

Gieseker, D.: A construction of stable bundles on an algebraic surface. J. Differ. Geom.27, 137?154 (1988)

Hoppe, H.J., Spindler, H.: Modulr�ume stabiler 2-B�ndel auf Regelfl�chen. Math. Ann.249, 127?140 (1980)

Kang Zuo: Regular two-forms on the moduli space of rank two stable bundles on an algebraic surface. Thesis, Max Planck Institut f�r Mathematik 1990

Maruyama, M.: Moduli of stable sheaves II. J. Math. Kyoto Univ.18, 557?614 (1978)

Morgan, J., O'Grady, K.: The smooth classification of elliptic surfaces with geometric genus equal to one. (to appear)

Mukai, S.: Symplectic structure of the moduli space of sheaves on an abelian or K3 surface. Invent. Math.77, 101?116 (1984)

Mukai, S.: On the moduli spaces of bundles on K3 surfaces, I, Vector bundles on algebraic varieties. Oxford: Oxford University Press 1987

O'Grady, K.: Donaldson's polynomials for K3 surfaces. (Preprint)

Oxbury, W.M.: Spectral curves of vector bundle endomorphisms. (Preprint)

Raynaud, M.: Sections des fibr�s vectoriels sur une courbe. Bull. Soc. Math. Fr.110, 103?125 (1982)

Tyurin, A.N.: Symplectic structures on the varieties of moduli of vector bundles on algebraic surfaces withp g >0. Math. USSR Izv.33, 139?177 (1989)

Tyurin, A.N.: Algebraic geometric aspects of smooth structures I. The Donaldson polynomials. Russ. Math. Surv.44, 113?178 (1990)