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On the Dolbeault Cohomology of Configuration Spaces
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classification
math.ATmath.AG
keywords
cohomologyconfigurationdolbeaultspacesringarbitrarycomplexcompute
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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