Commuting varieties and the rank filtration of topological K-theory
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909343143690240 |
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| author | Gritschacher, Simon |
| author_facet | Gritschacher, Simon |
| contents | We consider the space of $n$-tuples of pairwise commuting elements in the Lie algebra of $U(m)$. We relate its one-point compactification to the subquotients of certain rank filtrations of connective complex $K$-theory. We also describe the variant for connective real $K$-theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06902 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Commuting varieties and the rank filtration of topological K-theory Gritschacher, Simon Algebraic Topology We consider the space of $n$-tuples of pairwise commuting elements in the Lie algebra of $U(m)$. We relate its one-point compactification to the subquotients of certain rank filtrations of connective complex $K$-theory. We also describe the variant for connective real $K$-theory. |
| title | Commuting varieties and the rank filtration of topological K-theory |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2410.06902 |