7 problems

Casson invariant conjecture. The Casson invariant of $a3$ equals one-eighth the signature of the Milnor fiber.

Casson invariant conjecture. The Casson invariant of $\partial(X,o)$ is equal to one-eighth of the signature of the Milnor fiber of $(X,o)$.

Let $N$ be a homology sphere and let $g$ be a generic metric on $N$. Write $\chi_{SW}(N,g)$ for the Seiberg–Witten invariant, $\mathbf{F}(N,g)$ for the corresponding invariant appe…

Perron's conjecture. The map $\gamma_p$ is a well-defined invariant on $\mathcal{S}^3[p]$. Perron proposed this as an extension of the Casson invariant to the mod-$p$ Torelli group…

Let $\Sigma$ be the link of a normal complete intersection singularity, and let $M$ denote its Milnor fiber. Neumann–Wahl conjecture. … This generalizes the formula proved by Fintu…

Let $X$ be a homology 3-sphere, and let $\tau_{SU(3)}(X)$ denote its SU(3) Casson invariant. Evenness conjecture. The invariant $\tau_{SU(3)}(X)$ is even for every homology 3-spher…

Let $(X,o)$ be an isolated complete intersection surface singularity whose link $\Sigma$ is an integral homology $3$-sphere. The Casson Invariant Conjecture. The Casson invariant…