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Symmetry, Integrability and Geometry: Methods and Applications, 2023, Volume 19, 041, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2023.041 (Mi sigma1936) 		 
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
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DOI: https://doi.org/10.3842/SIGMA.2023.041
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
Document Type: Article
MSC: 53C26, 53C28, 81T13
Language: English
Citation: Roger Bielawski, Yannic Borchard, Sergey A. Cherkis, “Deformations of Instanton Metrics”, SIGMA, 19 (2023), 041, 11 pp.
Citation in format AMSBIB
\Bibitem{BieBorChe23}
\by Roger~Bielawski, Yannic~Borchard, Sergey~A.~Cherkis
\paper Deformations of Instanton Metrics
\jour SIGMA
\yr 2023
\vol 19
\papernumber 041
\totalpages 11
\mathnet{http://mi.mathnet.ru/sigma1936}
\crossref{https://doi.org/10.3842/SIGMA.2023.041}
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