Higher Structures, Vol. 6, No. 1, pp. 439-449, 2022
Second extra differential on odd graph complexes
Marko Živković
Received March 25th 2021. Published online July 15th 2022.
Abstract: A suitable extra differential on graph complexes can lead to a pairing of its cohomological classes. Many such extra differentials are known for various graph complexes, including Kontsevich’s graph complex GC$_n$ for odd $n$. In this paper we introduce another extra differential on the same graph complex, leading to another way of pairing of its cohomological classes. Two ways of pairing lead to even further understanding of graph cohomology through “waterfall mechanism”.
Keywords: Graph Complexes; Extra Differentials on Graph Complexes
