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arXiv · 2509.04756

On the Dolbeault Cohomology of Configuration Spaces

Peng Yang
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Abstract

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.

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Peng Yang. 2025-09-05. On the Dolbeault Cohomology of Configuration Spaces. https://arxiv.org/abs/2509.04756

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