By studying Rozansky-Witten theory with non-compact target spaces we find new connections with knot invariants whose physical interpretation was not known. This opens up several new avenues, which include a new formulation of q-series invariants of 3-manifolds in terms of affine Grassmannians and a generalization of Akutsu-Deguchi-Ohtsuki knot invariants.

中文翻译：

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库仑分支和对数结不变量的 Rozansky-Witten 几何

通过研究具有非紧致目标空间的 Rozansky-Witten 理论，我们发现了与物理解释未知的结不变量的新联系。这开辟了一些新的途径，其中包括根据仿射格拉斯曼函数的 3 流形的q系列不变量的新公式和 Akutsu-Deguchi-Ohtsuki 结不变量的推广。