On the fundamental group of Hom(Zk,G)
Abstract
Let G be a compact Lie group, and consider the variety Hom(Zk,G) of representations of Zk 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 π1(G)k.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.