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One point compactifications of configuration spaces and the self duality of the little disks operad (2309.16605v2)
Published 28 Sep 2023 in math.AT and math.GT
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 $\Sigma\infty_+ E_M$.