论文标题

奇数图复合物上的第二个额外差异

Second extra differential on odd graph complexes

论文作者

Živković, Marko

论文摘要

适当的图形复合物上的额外差异可以导致其共同体类别的配对。许多此类额外的差异都以各种图形复合体而闻名,包括Kontsevich的Graph Complex $ gc_n $ for Odd $ n $。在本文中,我们在同一图形复合体上引入了另一个额外的差异,从而导致了另一种配对同一个同类阶层的方式。配对的两种方法可以通过“瀑布机制”进一步了解图的共同体。

A suitable extra differential on graph complexes can lead to a pairing of its cohomological classes. Many such extra differentials are known for various graph complexes, including Kontsevich's graph complex $GC_n$ for odd $n$. In this paper we introduce another extra differential on the same graph complex, leading to another way of pairing of its cohomological classes. Two ways of pairing lead to even further understanding of graph cohomology through "waterfall mechanism".

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