On the structure of spaces of commuting elements in compact Lie groups
Algebraic Topology
2012-03-27 v1
Abstract
In this note we study topological invariants of the spaces of homomorphisms Hom(\pi,G), where \pi\ is a finitely generated abelian group and G is a compact Lie group arising as an arbitrary finite product of the classical groups SU(r), U(q) and Sp(k).
Keywords
Cite
@article{arxiv.1203.5439,
title = {On the structure of spaces of commuting elements in compact Lie groups},
author = {Alejandro Adem and José Manuel Gómez},
journal= {arXiv preprint arXiv:1203.5439},
year = {2012}
}
Comments
Accepted for publication in the proceedings of the conference: Configuration spaces: Geometry, Combinatorics and Topology. Scuola Normale Superiore