Poincaré/Koszul duality

2014/09/08 by Ayala, David, Francis, John
#13D03 #14B20 #14D23 (Secondary) #55U30 (Primary) #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1409.2478

Abstract

We prove a duality for factorization homology which generalizes both usual Poincaré duality for manifolds and Koszul duality for 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.

Related

• Notes on factorization algebras, factorization homology and applications
• Descent and the Koszul duality for locally constant factorization algebras
• Poincaré duality for Koszul algebras
• Derived Koszul Duality and Topological Hochschild Homology
• Koszul duality for locally constant factorization algebras