Infinite-Parameter ADHM Transform

Ward, Richard

doi:10.1093/qmath/haaa054

Infinite-Parameter ADHM Transform

Ward, Richard

Authors

Richard Ward

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

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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