article published yes Gábor Etesi author Tamas Hausel author 4A0666D8-F248-11E8-B48F-1D18A9856A870000-0002-9582-2634 In this paper we explicitly calculate the analogue of the 't Hooft SU (2) Yang-Mills instantons on Gibbons-Hawking multi-centered gravitational instantons, which come in two parallel families: the multi-Eguchi-Hanson, or Ak ALE gravitational instantons and the multi-Taub-NUT spaces, or Ak ALF gravitational instantons. We calculate their energy and find the reducible ones. Following Kronheimer we also exploit the U(1) invariance of our solutions and study the corresponding explicit singular SU (2) magnetic monopole solutions of the Bogomolny equations on flat ℝ3. Springer Nature2003 eng 0010-3616 1432-0916 020719610.1007/s00220-003-0806-8 235275 - 288 yes Etesi, Gábor, and Tamás Hausel. “On Yang-Mills Instantons over Multi-Centered Gravitational Instantons.” <i>Communications in Mathematical Physics</i>, vol. 235, Springer Nature, 2003, pp. 275–88, doi:<a href="https://doi.org/10.1007/s00220-003-0806-8">10.1007/s00220-003-0806-8</a>. G. Etesi and T. Hausel, “On Yang-Mills instantons over multi-centered gravitational instantons,” <i>Communications in Mathematical Physics</i>, vol. 235. Springer Nature, pp. 275–288, 2003. Etesi, G., &#38; Hausel, T. (2003). On Yang-Mills instantons over multi-centered gravitational instantons. <i>Communications in Mathematical Physics</i>. Springer Nature. <a href="https://doi.org/10.1007/s00220-003-0806-8">https://doi.org/10.1007/s00220-003-0806-8</a> Etesi, Gábor, and Tamás Hausel. “On Yang-Mills Instantons over Multi-Centered Gravitational Instantons.” <i>Communications in Mathematical Physics</i>. Springer Nature, 2003. <a href="https://doi.org/10.1007/s00220-003-0806-8">https://doi.org/10.1007/s00220-003-0806-8</a>. G. Etesi, T. Hausel, Communications in Mathematical Physics 235 (2003) 275–288. Etesi G, Hausel T. On Yang-Mills instantons over multi-centered gravitational instantons. <i>Communications in Mathematical Physics</i>. 2003;235:275-288. doi:<a href="https://doi.org/10.1007/s00220-003-0806-8">10.1007/s00220-003-0806-8</a> Etesi G, Hausel T. 2003. On Yang-Mills instantons over multi-centered gravitational instantons. Communications in Mathematical Physics. 235, 275–288. 14592018-12-11T11:52:09Z2026-05-28T12:12:13Z