Poincar\'e/Koszul duality
Algebraic Topology
2018-11-13 v8 Algebraic Geometry
Abstract
We prove a duality for factorization homology which generalizes both usual Poincar\'e duality for manifolds and Koszul duality for -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.
Cite
@article{arxiv.1409.2478,
title = {Poincar\'e/Koszul duality},
author = {David Ayala and John Francis},
journal= {arXiv preprint arXiv:1409.2478},
year = {2018}
}
Comments
70 pages, final version, accepted by Communications in Mathematical Physics