Correspondences, von Neumann Algebras and Holomorphic <i>L</i><sup>2</sup> Torsion
Correspondences, von Neumann Algebras and Holomorphic <i>L</i><sup>2</sup> Torsion
Abstract Given a holomorphic Hilbertian bundle on a compact complex manifold, we introduce the notion of holomorphic L 2 torsion, which lies in the determinant line of the twisted L 2 Dolbeault cohomology and represents a volume element there. Here we utilise the theory of determinant lines of Hilbertian modules …