METRICS ON THE MODULI SPACES OF INSTANTONS OVER EUCLIDEAN 4-SPACE

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Abstract

We prove that the natural hyper-Kahler metrics on the moduli space of charge kappa instantons over Euclidean four-space and on the space of ADHM matrices coincide. We use this to deduce formulae relating expressions in the curvature of a connection to invariant polynomials in the ADHM matrices corresponding to this connection. These arise from consideration of the group of symmetries acting on the moduli spaces.

Original languageEnglish
Pages (from-to)467-482
Number of pages16
JournalCommunications in Mathematical Physics
Volume135
Issue number3
Publication statusPublished - 1991

Keywords

  • DETERMINANTS
  • GEOMETRY

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