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arXiv · 2412.14909

Lie algebras and the (co)homology of configuration spaces

Ben Knudsen
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Abstract

We survey decades of research identifying the (co)homology of configuration spaces with Lie algebra (co)homology. The different routes to this one proto-theorem offer genuinely different explanations of its truth, and we attempt to convey some sense of the conceptual core of each perspective. We close with a list of problems.

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Ben Knudsen. 2024-12-19. Lie algebras and the (co)homology of configuration spaces. https://arxiv.org/abs/2412.14909

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