  This article constructs Von Neumann invariants for constructible complexes
and coherent D-modules on compact complex manifolds, generalizing the work of
the author on coherent L 2-cohomology. We formulate a conjectural
generalization of Dingoyan's L 2-Mixed Hodge structures in terms of Saito's
Mixed Hodge Modules and give partial results in this direction. 2020 AMS
Classification: 32J27.
