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arXiv · 2305.06964

Koszul self duality of manifolds

Connor Malin
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Abstract

We show that Koszul duality for operads in $(\mathrm{Top},\times)$ can be expressed via generalized Thom complexes. As an application, we prove the Koszul self duality of the little disk modules $E_M$. We discuss implications for factorization homology, embedding calculus, and confirm an old conjecture of Ching on the relation of Goodwillie calculus to manifold calculus.

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Connor Malin. 2023-05-11. Koszul self duality of manifolds. https://arxiv.org/abs/2305.06964

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