Infinite-Parameter ADHM Transform
Mathematical Physics
2020-07-28 v2 High Energy Physics - Theory
math.MP
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.
Cite
@article{arxiv.2006.01459,
title = {Infinite-Parameter ADHM Transform},
author = {R. S. Ward},
journal= {arXiv preprint arXiv:2006.01459},
year = {2020}
}
Comments
13 pages, for special issue of Quarterly Journal of Mathematics dedicated to Michael Atiyah; v2 minor amendments, accepted version