English

The oriented graph complex revisited

Quantum Algebra 2024-12-02 v1

Abstract

We prove that the Kontsevich graph complex GCd2GC_d^{2} and its oriented version OGCd+12OGC_{d+1}^2 are quasi-isomorphic as dg Lie algebras.

Cite

@article{arxiv.2411.19657,
  title  = {The oriented graph complex revisited},
  author = {Sergei Merkulov and Thomas Willwacher and Vincent Wolff},
  journal= {arXiv preprint arXiv:2411.19657},
  year   = {2024}
}

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10 pages