Integral homology sphere splice-diagram conjecture

Let $(X,o)$ be a Gorenstein normal surface singularity whose link $M$ is an integral homology sphere, meaning $H_1(M;{\mathbb Z})=\{0\}$. Let $\Delta$ be its splice diagram. Integral homology sphere splice-diagram conjecture. The singularity $X$ is a complete intersection, $\Delta$ satisfies the semigroup condition, its equations are equisingular deformations of the splice-diagram equations, and the Casson invariant of $M$ is one-eighth the signature of the Milnor fibre of $X$. This is the specialization of the paper's broader conjectural picture to integral homology sphere links; the source presents it as a conjecture and cites related work for the Casson-invariant formula.