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arxiv: 1409.2478 · v8 · pith:OFOTZG6Hnew · submitted 2014-09-08 · 🧮 math.AT · math.AG

Poincar\'e/Koszul duality

David Ayala , John Francis This is my paper
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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