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The Universal Connection and Metrics on Moduli Spaces

Differential Geometry 2015-06-26 v1 High Energy Physics - Theory Mathematical Physics math.MP

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

Keywords

Cite

@article{arxiv.math/0311198,
  title  = {The Universal Connection and Metrics on Moduli Spaces},
  author = {Fortune Massamba and George Thompson},
  journal= {arXiv preprint arXiv:math/0311198},
  year   = {2015}
}

Comments

14 pages

R2 v1 2026-07-22T16:59:35.738Z