SU(2)^2xU(1)-invariant G_2-instantons on the AC limit of the C7 family

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Abstract

We construct SU(2)^2xU(1)-invariant G_2-instantons on the asymptotically conical limit of the C7 family of G_2-metrics. The construction uses a dynamical systems approach involving perturbations of an abelian solution and a solution on the G_2-cone. From this we obtain a 1-parameter family of invariant instantons with gauge group SU(2) and bounded curvature.
Original languageEnglish
JournalCommunications in Analysis & Geometry
Publication statusAcceptance date - 29 Jun 2023

Bibliographical note

28 pages, 6 figures, 1 table

Keywords

  • math.DG
  • math.DS
  • 53C07, 53C25

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