Differentials on graph complexes

Anton Khoroshkin, Thomas Willwacher, Marko Živković

Research output: Contribution to journalArticlepeer-review


We study the cohomology of complexes of ordinary (non-decorated) graphs, introduced by M. Kontsevich. We construct spectral sequences converging to zero whose first page contains the graph cohomology. In particular, these spectral sequences may be used to show the existence of an infinite series of previously unknown and provably non-trivial cohomology classes, and put constraints on the structure of the graph cohomology as a whole.

Original languageEnglish
Pages (from-to)1184-1214
Number of pages31
JournalAdvances in Mathematics
StatePublished - 5 Feb 2017
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2016


  • Graph complexes

ASJC Scopus subject areas

  • General Mathematics


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