A Koszul duality for props
Algebraic Topology
2011-03-31 v3 Quantum Algebra
Abstract
The notion of prop models the operations with multiple inputs and multiple outpus, acting on some algebraic structures like the bialgebras or the Lie bialgebras. In this paper, we generalize the Koszul duality theory of associative algebras and operads to props.
Cite
@article{arxiv.math/0411542,
title = {A Koszul duality for props},
author = {Bruno Vallette},
journal= {arXiv preprint arXiv:math/0411542},
year = {2011}
}
Comments
Last version before publication in Transactions of the A.M.S (statement about the properad of involutive Lie bialgebras removed)