Poincaré/Koszul Duality

David Ayala, John Francis*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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 languageEnglish (US)
Pages (from-to)847-933
Number of pages87
JournalCommunications in Mathematical Physics
Issue number3
StatePublished - Feb 7 2019

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


Dive into the research topics of 'Poincaré/Koszul Duality'. Together they form a unique fingerprint.

Cite this