Superposition of configurations and scanning
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866909181290741760 |
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| author | Stavrou, Andreas |
| author_facet | Stavrou, Andreas |
| contents | We endow the cohomology of configuration spaces of a manifold with a product arising from superposing configurations. We prove that, under the scanning isomorphism, this product corresponds to the cup-product of the section space of the standard scanning bundle of the manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16145 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Superposition of configurations and scanning Stavrou, Andreas Algebraic Topology We endow the cohomology of configuration spaces of a manifold with a product arising from superposing configurations. We prove that, under the scanning isomorphism, this product corresponds to the cup-product of the section space of the standard scanning bundle of the manifold. |
| title | Superposition of configurations and scanning |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2404.16145 |