[en] 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.
Disciplines :
Mathématiques
Auteur, co-auteur :
Khoroskhin, Anton; National Research University Higher School of Economics Moscow
Willwacher, Thomas; Eidgenössische Technische Hochschule Zürich - ETH > Department of Mathematics
ZIVKOVIC, Marko ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
Differentials on graph complexes
Date de publication/diffusion :
février 2017
Titre du périodique :
Advances in Mathematics
ISSN :
0001-8708
eISSN :
1090-2082
Maison d'édition :
Academic Press, San Diego, Etats-Unis - Californie
