论文标题
$ \ mathfrak {grt} _1 $的Lie Graph同源模型
Lie graph homology model for $\mathfrak{grt}_1$
论文作者
论文摘要
本文为换向图复杂的$ \ mathsf {gc} _2 $开发了一个新的链模型，该模型将Lie Graph同源性作为输入。我们的主要技术结果是鉴定出（某些）t和更高属的theman thertices的大型缩水复合物的lie图同源性。使用此结果，我们确定了属属$ 2 $的Lie Graph同源性的抗动物与$ \ Mathfrak的构型发电机之间的关系之间的关系，深度为2 Modulo Depth 3，统一了两个A a A A A A A DICPRATIE A a Motarate Cusp space Praceparate cusp spect of Grapher of Graphera Homology of Grapher Homology of Grapher Homology of Graphers face faception。
This paper develops a new chain model for the commutative graph complex $\mathsf{GC}_2$ which takes Lie graph homology as an input. Our main technical result is the identification of a large contractible complex of (certain) tadpoles and higher genus vertices of the Feynman transform of Lie graph homology. Using this result we identify the anti-invarints of Lie graph homology in genus $2$ with relations between bracketings of conjectural generators of $\mathfrak{grt}_1$ in depth 2 modulo depth 3, unifying two a priori disparate appearances of the space of modular cusp forms in the study of graph homology.
