Richard Ward
Infinite-Parameter ADHM Transform
Ward, Richard
Authors
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 |
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Copyright Statement
This is a pre-copyedited, author-produced PDF of an article accepted for publication in Quarterly journal of mathematics following peer review. The version of record Ward, Richard (2021). Infinite-Parameter ADHM Transform. Quarterly Journal of Mathematics 72(1-2): haaa054, 407-415. is available online at: https://doi.org/10.1093/qmath/haaa054
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