Infinite-Parameter ADHM Transform

Ward, Richard

Abstract

The Atiyah–Drinfeld–Hitchin–Manin transform and its various generalizations are examples of nonlinear integral transforms between finite-dimensional moduli spaces. This note describes a natural infinite-dimensional generalization, where the transform becomes a map from boundary data to a family of solutions of the self-duality equations in a domain.

Citation

Ward, R. (2021). Infinite-Parameter ADHM Transform. The Quarterly Journal of Mathematics, 72(1-2), 407-415. https://doi.org/10.1093/qmath/haaa054

• Journal Article Type: Article
• Acceptance Date: Oct 20, 2020
• Online Publication Date: Nov 19, 2020
• Publication Date: 2021-06
• Deposit Date: Sep 15, 2020
• Publicly Available Date: Nov 19, 2021
• Journal: Quarterly Journal of Mathematics
• Print ISSN: 0033-5606
• Electronic ISSN: 1464-3847
• Publisher: Oxford University Press
• Peer Reviewed: Peer Reviewed
• Volume: 72
• Issue: 1-2
• Article Number: haaa054
• Pages: 407-415
• DOI: https://doi.org/10.1093/qmath/haaa054
• Public URL: https://durham-repository.worktribe.com/output/1256184