Roger Bielawski, Yannic Borchard, Sergey A. Cherkis, “Deformations of Instanton Metrics”, SIGMA, 2023, Volume 19,041, 11 pp.

Deformations of Instanton Metrics

Roger Bielawski^a, Yannic Borchard^a, Sergey A. Cherkis^b

^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.

MSC: 53C26, 53C28, 81T13

Received: January 25, 2023; in final form June 5, 2023; Published online June 13, 2023

Language: English

DOI: 10.3842/SIGMA.2023.041