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Infinite-parameter ADHM transform

Ward, Richard (2021) 'Infinite-parameter ADHM transform.', Quarterly journal of mathematics., 72 (1-2). pp. 407-415.

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.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1093/qmath/haaa054
Publisher 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
Date accepted:20 October 2020
Date deposited:15 September 2020
Date of first online publication:19 November 2020
Date first made open access:19 November 2021

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