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arXiv · 2402.10953

Higher homotopy groups of topological Kac-Moody groups, Whitehead tower, and string groups

Ralf Köhl
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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 $E_n$-series.

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Ralf Köhl. 2024-02-10. Higher homotopy groups of topological Kac-Moody groups, Whitehead tower, and string groups. https://arxiv.org/abs/2402.10953

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