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.
Original language | English (US) |
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Pages (from-to) | 847-933 |
Number of pages | 87 |
Journal | Communications in Mathematical Physics |
Volume | 365 |
Issue number | 3 |
DOIs | |
State | Published - Feb 7 2019 |
Funding
DA was partially supported by ERC adv. Grant No. 228082, and by the National Science Foundation under Awards 0902639 and 1507704. JF was supported by the National Science Foundation under Awards 1207758 and 1508040.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics