, Volume 78, Issue 1, pp 223-243

The space of surface group representations

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Abstract

In this note we prove that the number of irreducible components of Hom (π,G) is the same as π1(G), where π is a surface group andG is complex semisimple. This is established by studying the flat bundles on Riemann surfaces.

The present work is partially supported by NSF grant DMS89-04922