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Deformations of Instanton Metrics
Roger Bielawskia, Yannic Borcharda, Sergey A. Cherkisb a Institut für Differentialgeometrie, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
b Department of Mathematics, The University of Arizona,
617 N. Santa Rita Ave., Tucson, AZ 85721-0089, USA
Abstract:
We discuss a class of bow varieties which can be viewed as Taub-NUT deformations of moduli spaces of instantons on {noncommutative} $\mathbb{R}^4$. Via the generalized Legendre transform, we find the Kähler potential on each of these spaces.
Keywords:
instanton, bow variety, hyperkähler geometry, generalised Legendre transform.
Received: January 25, 2023; in final form June 5, 2023; Published online June 13, 2023
Citation:
Roger Bielawski, Yannic Borchard, Sergey A. Cherkis, “Deformations of Instanton Metrics”, SIGMA, 19 (2023), 041, 11 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1936 https://www.mathnet.ru/eng/sigma/v19/p41
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Abstract page: | 73 | Full-text PDF : | 14 | References: | 19 |
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