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PROPped up graph cohomology

Martin Markl·Alexander A. Voronov
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Abstract

We consider graph complexes with a flow and compute their cohomology. More specifically, we prove that for a PROP generated by a Koszul dioperad, the corresponding graph complex gives a minimal model of the PROP. We also give another proof of the existence of a minimal model of the bialgebra PROP from math.AT/0209007. These results are based on the useful notion of a 1/2 PROP introduced by Kontsevich in an e-mail message to the first author.

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Martin Markl, Alexander A. Voronov. 2007-04-12. PROPped up graph cohomology. https://arxiv.org/abs/math/0307081

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