PROPped up graph cohomology
نویسندگان
چکیده
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].
منابع مشابه
ar X iv : m at h / 03 07 08 1 v 3 [ m at h . Q A ] 1 2 A pr 2 00 7 1 PROPped up graph cohomology
We consider graph complexes with a flow and compute their cohomol-ogy. 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 ...
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تاریخ انتشار 2007