Abstract
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 language | English |
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Pages (from-to) | 1184-1214 |
Number of pages | 31 |
Journal | Advances in Mathematics |
Volume | 307 |
DOIs | |
State | Published - 5 Feb 2017 |
Externally published | Yes |
Bibliographical note
Funding Information:A.Kh. research has been supported by the RFBR grant 15-01-09242, by Dynasty Foundation and Simons–IUM fellowship. T.W. and M.Ž. have been partially supported by the Swiss National Science Foundation, grant 200021_150012, and the SwissMAP NCCR funded by the Swiss National Science Foundation. Results of Appendix A with a sketch of independent proof of the main Theorem 2 have been obtained under support of the RSF grant No. 16-11-10160.
Publisher Copyright:
© 2016
Keywords
- Graph complexes
ASJC Scopus subject areas
- Mathematics (all)