Infinite-Parameter ADHM Transform
arXiv:2006.01459
Abstract
The Atiyah-Drinfeld-Hitchin-Manin (ADHM) transform and its various generalizations are examples of non-linear integral transforms between finite-dimensional moduli spaces. This note describes a natural infinite-dimansional generalization, where the transform becomes a map from boundary data to a family of solutions of the self-duality equations in a domain.
13 pages, for special issue of Quarterly Journal of Mathematics dedicated to Michael Atiyah; v2 minor amendments, accepted version