On the Dolbeault Cohomology of Configuration Spaces
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912571779448832 |
|---|---|
| author | Yang, Peng |
| author_facet | Yang, Peng |
| contents | We compute the Dolbeault cohomology ring of the configuration spaces of $\mathbb{C}^n$ and construct a spectral sequence that converges to the Dolbeault cohomology ring of the configuration spaces of an arbitrary complex manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04756 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Dolbeault Cohomology of Configuration Spaces Yang, Peng Algebraic Topology Algebraic Geometry 32Q99, 55R80, 14F43, 55T99 We compute the Dolbeault cohomology ring of the configuration spaces of $\mathbb{C}^n$ and construct a spectral sequence that converges to the Dolbeault cohomology ring of the configuration spaces of an arbitrary complex manifold. |
| title | On the Dolbeault Cohomology of Configuration Spaces |
| topic | Algebraic Topology Algebraic Geometry 32Q99, 55R80, 14F43, 55T99 |
| url | https://arxiv.org/abs/2509.04756 |