Poincare/Koszul Duality


David Ayala, John Francis


Communications in Mathematical Physics


We prove a duality for factorization homology which generalizes both usual Poincare duality for manifolds and Koszul duality for En-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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