Commuting Elements and Spaces of Homomorphisms

Details Commuting Elements and Spaces of Homomorphisms Commuting Elements and Spaces of Homomorphisms

2006-03-08

arxiv.org/abs/math/0603197v2

Mathematics

Algebraic Topology

Revised version correcting homology calculations and a few minor points

Scientific paper

This article records basic topological, as well as homological properties of the space of homomorphisms Hom(L,G) where L is a finitely generated discrete group, and G is a Lie group, possibly non-compact. If L is a free abelian group of rank equal to n, then Hom(L,G) is the space of ordered n-tuples of commuting elements in G. If G=SU(2), a complete calculation of the cohomology of these spaces is given for n=2, 3. An explicit stable splitting of these spaces is also obtained, as a special case of a more general splitting.

Affiliated with

Also associated with

No associations

Rating

Commuting Elements and Spaces of Homomorphisms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Commuting Elements and Spaces of Homomorphisms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Commuting Elements and Spaces of Homomorphisms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-447184