Lie algebras and the (co)homology of configuration spaces
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911111328038912 |
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| author | Knudsen, Ben |
| author_facet | Knudsen, Ben |
| contents | We survey decades of research identifying the (co)homology of configuration spaces with Lie algebra (co)homology. The different routes to this one proto-theorem offer genuinely different explanations of its truth, and we attempt to convey some sense of the conceptual core of each perspective. We close with a list of problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_14909 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lie algebras and the (co)homology of configuration spaces Knudsen, Ben Algebraic Topology Geometric Topology We survey decades of research identifying the (co)homology of configuration spaces with Lie algebra (co)homology. The different routes to this one proto-theorem offer genuinely different explanations of its truth, and we attempt to convey some sense of the conceptual core of each perspective. We close with a list of problems. |
| title | Lie algebras and the (co)homology of configuration spaces |
| topic | Algebraic Topology Geometric Topology |
| url | https://arxiv.org/abs/2412.14909 |