Cohomology of configuration spaces on punctured varieties
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866929330476548096 |
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| author | Huang, Yifeng |
| author_facet | Huang, Yifeng |
| contents | In the theory of configuration spaces, "splitting" usually refers to the phenomenon that the configuration spaces on a manifold and those on its punctured version are closely related cohomologically. We prove a splitting theorem that is equivariant and mixed-Hodge-theoretic; both are new features in such results. As an application, we determine the generating function for the mixed Hodge numbers of the unordered configuration spaces of a multi-punctured elliptic curve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2011_07153 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Cohomology of configuration spaces on punctured varieties Huang, Yifeng Algebraic Geometry Algebraic Topology 55R80, 16E45, 55T In the theory of configuration spaces, "splitting" usually refers to the phenomenon that the configuration spaces on a manifold and those on its punctured version are closely related cohomologically. We prove a splitting theorem that is equivariant and mixed-Hodge-theoretic; both are new features in such results. As an application, we determine the generating function for the mixed Hodge numbers of the unordered configuration spaces of a multi-punctured elliptic curve. |
| title | Cohomology of configuration spaces on punctured varieties |
| topic | Algebraic Geometry Algebraic Topology 55R80, 16E45, 55T |
| url | https://arxiv.org/abs/2011.07153 |