Recognition: unknown
Poincar\'e/Koszul duality
classification
🧮 math.AT
math.AG
keywords
dualityalgebrashomologykoszulpoincarapplicationassociativeenveloping
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We prove a duality for factorization homology which generalizes both usual Poincar\'e duality for manifolds and Koszul duality for $\mathcal{E}_n$-algebras. The duality has application to the Hochschild homology of associative algebras and enveloping algebras of Lie algebras. We interpret our result at the level of topological quantum field theory.
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