Reference : Differentials on graph complexes
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Differentials on graph complexes
Khoroskhin, Anton [National Research University Higher School of Economics Moscow]
Willwacher, Thomas [Eidgenössische Technische Hochschule Zürich - ETH > Department of Mathematics]
Zivkovic, Marko mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Advances in Mathematics
Academic Press
Yes (verified by ORBilu)
San Diego
[en] Graph complexes
[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.
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