@article{1459, abstract = {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.}, author = {Etesi, Gábor and Tamas Hausel}, journal = {Communications in Mathematical Physics}, number = {2}, pages = {275 -- 288}, publisher = {Springer}, title = {{On Yang-Mills instantons over multi-centered gravitational instantons}}, doi = {10.1007/s00220-003-0806-8}, volume = {235}, year = {2003}, }