Gourab Paul

Runge embeddings, approximation of biholomorphisms on Stein manifolds, and the Loewner PDE

We develop an extension-by-approximation principle for holomorphic Runge embeddings of increasing union of Stein manifolds into Stein manifolds with density property. The basic hypothesis is the existence, on each stage of the exhaustion, of a Runge isotopy which compresses the stage and whose terminal map extends holo...