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The Universal Connection and Metrics on Moduli Spaces

Fortune Massamba, George Thompson

math.DGarXiv:math/0311198

Abstract

We introduce a class of metrics on gauge theoretic moduli spaces. These metrics are made out of the universal matrix that appears in the universal connection construction of M. S. Narasimhan and S. Ramanan. As an example we construct metrics on the c2=1 SU(2) moduli space of instantons on R4 for various universal matrices.

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