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A Koszul duality for props

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arxiv math/0411542 v3 pith:MLGXKCLU submitted 2004-11-24 math.AT math.QA

Bruno Vallette This is my paper · ORCID
classification math.ATmath.QA
keywords bialgebrasdualitykoszulmultiplepropsactingalgebraicalgebras
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 155 citations worldwide. Full citation record

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    Cohomology of parallelized n-manifolds carries a natural homotopy involutive n-Frobenius structure extending the rational homotopy type, via Quillen equivalence to n-Poisson cooperad comodules.

  2. Obstruction sequences to homotopy equivalences

    math.AT 2025-09 conditional novelty 6.0 of 10

    Gauge-theoretic obstruction sequences characterize homotopy equivalences between algebras over properads and colored operads, with applications to minimal models over general fields and in etale cohomology.

  3. One-dimensionality of certain cocycles for the detection of the Johnson cokernel

    math.AT 2025-07 accept novelty 4.0 of 10

    The vertex-graded 1-cocycles of the ribbon graph complex RGC1 are one-dimensional and spanned by the graph G1 corresponding to the Enomoto-Satoh trace.

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