Higher homotopy groups of topological Kac-Moody groups, Whitehead tower, and string groups
Group Theory
2024-02-22 v2 Algebraic Topology
Abstract
This note establishes that homotopy groups of topological split real Kac-Moody groups are countable and, hence, concludes the existence of Whitehead towers consisting of topological groups for these groups and their maximal compact subgroups. Moreover, this note proposes a construction for string groups of the -series.
Keywords
Cite
@article{arxiv.2402.10953,
title = {Higher homotopy groups of topological Kac-Moody groups, Whitehead tower, and string groups},
author = {Ralf Köhl},
journal= {arXiv preprint arXiv:2402.10953},
year = {2024}
}