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On the Dolbeault Cohomology of Configuration Spaces

Algebraic Topology 2025-09-08 v1 Algebraic Geometry

Abstract

We compute the Dolbeault cohomology ring of the configuration spaces of Cn\mathbb{C}^n and construct a spectral sequence that converges to the Dolbeault cohomology ring of the configuration spaces of an arbitrary complex manifold.

Keywords

Cite

@article{arxiv.2509.04756,
  title  = {On the Dolbeault Cohomology of Configuration Spaces},
  author = {Peng Yang},
  journal= {arXiv preprint arXiv:2509.04756},
  year   = {2025}
}

Comments

12 pages. Comments are welcome