English

Second extra differential on odd graph complexes

Quantum Algebra 2020-05-14 v1

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 GCnGC_n for odd nn. 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

Cite

@article{arxiv.2005.06258,
  title  = {Second extra differential on odd graph complexes},
  author = {Marko Živković},
  journal= {arXiv preprint arXiv:2005.06258},
  year   = {2020}
}