Hypercomplex limits of pluricomplex structures and the Euclidean limit of hyperbolic monopoles

Abstract

We discuss the Euclidean limit of hyperbolic SU(2)-monopoles, framed at infinity, from the point of view of pluricomplex geometry. More generally, we discuss the geometry of hypercomplex manifolds arising as limits of pluricomplex manifolds.

arXiv comment11 pages; Version 2 clarifies the relation to the work of Atiyah