C. Malin

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20232026

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math.AT2023

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

Connor Malin

Using configuration space level Pontryagin--Thom constructions, we construct a simple Koszul self duality map for the little disks operad $Σ_{+}^{\infty} E_{n}$ . For a framed $n$ -manifol…

math.AT2023

Koszul self duality of manifolds

Connor Malin

We show that Koszul duality for operads in $(Top, \times)$ can be expressed via generalized Thom complexes. As an application, we prove the Koszul self duality of the littl…