Winding numbers and SU(2)-representations of knot groups

Dylan Bowden, James Howie

Given an abelian group $A$ and a Lie group $G$, we construct a bilinear pairing from $A\times {\pi }_1(\mathcal{R})$ to ${\pi }_1(G)$, where $\mathcal{R}$ is a subvariety of the variety of re…