Moduli spaces of simple bundles and Hermitian-Einstein connections
This paper deals with moduli spaces of simple semi-connections in complex vector bundles over compact complex manifolds. By differential geometric methods we equip these spaces with the structure of a (non separated) analytic Hilbert manifold, containing the simple holomorphic structures as a finite dimensional locally Hausdorff analytic subspace. Of course we have to mention that the existence of such a structure in the space of simple holomorphic bundles is already known by the work of \textit{V. A. Norton} [Indiana Univ. Math. J. 28, 365-387 (1979; Zbl 0385.32018)], but our approach has the advantage that the moduli space of irreducible Hermitian-Einstein connections occurs as an open subset with a globally Hausdorff analytic structure.
irreducible Hermitian-Einstein connections
scientific article; zbMATH DE number 3986092
scientific article