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arXiv · 1409.2478

Poincar\'e/Koszul duality

David Ayala·John Francis
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Abstract

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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David Ayala, John Francis. 2014-09-08. Poincar\'e/Koszul duality. https://arxiv.org/abs/1409.2478

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