Metrics on the moduli spaces of instantons over Euclidean 4-space |
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| Authors: | Antony Maciocia |
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| Affiliation: | (1) Mathematical Institute, 24-29 St. Giles, OX1 3LB Oxford, England;(2) Present address: Department of Mathematics, University of Edinburgh, James Clerk Maxwell Building, King's Buildings, Mayfield Road, EH9 3JZ Edinburgh, Scotland |
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| Abstract: | We prove that the natural hyper-Kähler metrics on the moduli space of chargek 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. |
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