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 . These results are based on the useful notion of a 1/2 PROP introduced by Kontsevich in .
|Original language||English (US)|
|Title of host publication||Progress in Mathematics|
|Number of pages||33|
|State||Published - Jan 1 2009|
|Name||Progress in Mathematics|
- Graph complexes