Higher homotopy groups of topological Kac-Moody groups, Whitehead tower, and string groups
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916132911316992 |
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| author | Köhl, Ralf |
| author_facet | Köhl, Ralf |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10953 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher homotopy groups of topological Kac-Moody groups, Whitehead tower, and string groups Köhl, Ralf Group Theory Algebraic Topology 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. |
| title | Higher homotopy groups of topological Kac-Moody groups, Whitehead tower, and string groups |
| topic | Group Theory Algebraic Topology |
| url | https://arxiv.org/abs/2402.10953 |