4 problems

Let $K$ be a knot, let $\sg(K)$ denote its signature, let $H_1$ denote the first homology group of the double branched cover of $K$, and let $Q_K$ be the associated polynomial valu…

Let $K$ be a knot, let $\sg(K)$ denote its signature, let $D=\dt(K)$ be its prime determinant, let $H_1$ denote the first homology group of the double branched cover of $K$, and le…

Let $N$ be a closed connected orientable $n$-manifold with $H_1(N)$ torsion-free, $n\geq 4$, and $n$ even, and let $N_0$ denote a punctured version of $N$. For an embedding…

Kim–Livingston conjecture. This homomorphism is an isomorphism.