论文标题
长嵌入式和BCR图的旋转的共生，具有多个循环
Cocycles of the space of long embeddings and BCR graphs with more than one loop
论文作者
论文摘要
本文的目的是构建空格的非平凡共生（\ mathbb {r}^j，\ mathbb {r}^{n}）$的长嵌入。我们通过在配置空间上进行积分构建Cocycles，与具有多个循环的Bott-Cattaneo-Rossi图相关联。作为一个申请，我们明确地给出了一个非平凡的零件嵌入，用于奇数$ n，j $，带有$ n-j \ geq 2 $和$ j \ geq 3 $。该家族（循环）是根据有向线的和弦图构建的。非平凡性通过共生周期削皮显示，通过图表和和弦图之间的削皮描述。
The purpose of this paper is to construct non-trivial cocycles of the space $Emb(\mathbb{R}^j, \mathbb{R}^{n})$ of long embeddings. We construct the cocycles by integral over configuration spaces, associated with Bott-Cattaneo-Rossi graphs with more than one loop. As an application, we give explicitly a non-trivial family of trivial long embeddings for odd $n,j$ with $n-j \geq 2$ and $j \geq 3$. This family (cycle) is constructed from a chord diagram on directed lines. The non-triviality is shown by cocycle-cycle paring, described by paring between graphs and chord diagrams.
