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arXiv · 2309.16605

One point compactifications of configuration spaces and the self duality of the little disks operad

Connor Malin
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Abstract

Using configuration space level Pontryagin--Thom constructions, we construct a simple Koszul self duality map for the little disks operad $\Sigma^\infty_+ E_n$. For a framed $n$-manifold $M$, we show that a compatible self duality map exists for $\Sigma^\infty_+ E_M$.

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Connor Malin. 2023-09-28. One point compactifications of configuration spaces and the self duality of the little disks operad. https://doi.org/10.2140/agt.2025.25.4163

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