[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 :
Mathematics
Author, co-author :
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
External co-authors :
yes
Language :
English
Title :
Differentials on graph complexes
Publication date :
February 2017
Journal title :
Advances in Mathematics
ISSN :
1090-2082
Publisher :
Academic Press, San Diego, United States - California
