Poincaré/Koszul Duality

David Ayala, John Francis*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

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 languageEnglish (US)
Pages (from-to)847-933
Number of pages87
JournalCommunications in Mathematical Physics
Volume365
Issue number3
DOIs
StatePublished - 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

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