Differentials on graph complexes

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• 作者：Anton Khoroshkin^a ; ^{akhoroshkin@hse.ru} ; Thomas Willwacher^b ; ^{thomas.willwacher@math.ethz.ch} ; Marko Živković^c ; ^{the.zivac@gmail.com}
• 关键词：Graph complexes
• 刊名：Advances in Mathematics
• 出版年：2017
• 出版时间：5 February 2017
• 年：2017
• 卷：307
• 期：Complete
• 页码：1184-1214
• 全文大小：550 K
• 卷排序：307

文摘

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.