The Universal Connection and Metrics on Moduli Spaces

Details The Universal Connection and Metrics on Moduli Spaces The Universal Connection and Metrics on Moduli Spaces

2003-11-12

arxiv.org/abs/math/0311198v1

Commun.Math.Phys. 253 (2004) 323-335

Mathematics

Differential Geometry

14 pages

Scientific paper

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 c_{2}=1 SU(2) moduli space of instantons on R^4 for
various universal matrices.

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