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arXiv · 2011.07153

Cohomology of configuration spaces on punctured varieties

Yifeng Huang
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Abstract

In the theory of configuration spaces, "splitting" usually refers to the phenomenon that the configuration spaces on a manifold and those on its punctured version are closely related cohomologically. We prove a splitting theorem that is equivariant and mixed-Hodge-theoretic; both are new features in such results. As an application, we determine the generating function for the mixed Hodge numbers of the unordered configuration spaces of a multi-punctured elliptic curve.

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Yifeng Huang. 2020-11-13. Cohomology of configuration spaces on punctured varieties. https://arxiv.org/abs/2011.07153

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