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On the Dolbeault Cohomology of Configuration Spaces

Published 5 Sep 2025 in math.AT and math.AG | (2509.04756v1)

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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