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 - 2009|
|Name||Progress in Mathematics|
Bibliographical noteFunding Information:
∗Partially supported by the grant GA CˇR 201/02/1390 and by the Academy of Sciences of the Czech Republic, Institutional Research Plan No. AV0Z10190503. †Partially supported by NSF grant DMS-0227974.
Partially supported by the grant GA ?R 201/02/1390 and by the Academy of Sciences of the Czech Republic, Institutional Research Plan No. AV0Z10190503. Partially supported by NSF grant DMS-0227974.
© Springer Science+Business Media, LLC 2009.
- Graph complexes