论文标题
Bott-Cattaneo-Rossi不变式在渐近同源性$ \ mathbb r^3 $
Bott-Cattaneo-Rossi invariants for long knots in asymptotic homology $\mathbb R^3$
论文作者
论文摘要
在本文中，我们表达了亚历山大多项式的null同源长结的多项式。为了获得这样的表达，我们使用先前建立的公式，该公式将广义的bott-cattaneo-rossi不变式根据亚历山大多项式而言，反之亦然，我们将这些bott-cattaneo-rossi不变性与Chern-Simons理论的扰动扩展联系起来。
In this article, we express the Alexander polynomial of null-homologous long knots in punctured rational homology $3$-spheres in terms of integrals over configuration spaces. To get such an expression, we use a previously established formula, which gives generalized Bott-Cattaneo-Rossi invariants in terms of the Alexander polynomial and vice versa, and we relate these Bott-Cattaneo-Rossi invariants to the perturbative expansion of Chern-Simons theory.
