On the fundamental group of Hom(Z^k,G)
classification
🧮 math.AT
math.GR
keywords
groupfundamentalspacebasecompactconsiderdesignatingisomorphic
read the original abstract
Let G be a compact Lie group, and consider the variety Hom(Z^k,G) of representations of Z^k into G. We view this as a based space by designating the trivial representation to be its base point. We prove that the fundamental group of this space is naturally isomorphic to \pi_1(G)^k.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.