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 [14]. These results are based on the useful notion of a 1/2 PROP introduced by Kontsevich in [9].
| Original language | English (US) |
|---|---|
| Title of host publication | Progress in Mathematics |
| Publisher | Springer Basel |
| Pages | 249-281 |
| Number of pages | 33 |
| DOIs | |
| State | Published - 2009 |
Publication series
| Name | Progress in Mathematics |
|---|---|
| Volume | 270 |
| ISSN (Print) | 0743-1643 |
| ISSN (Electronic) | 2296-505X |
Bibliographical note
Funding 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.
Funding Information:
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.
Publisher Copyright:
© Springer Science+Business Media, LLC 2009.
Keywords
- Cohomology
- Graph complexes
- Operads