The Seiberg–Witten invariant conjecture for constants of nice surface singularities

Let $X$ be a nice normal surface singularity with rational homology sphere link $M$, and let $H$ index the constants \\{\mathrm{const}_h\}_{h\in H}. The group $H$ acts on the set of $\operatorname{spin}^c$-structures of $M$, and $\textsigma_{\mathrm{can}}$ denotes the canonical $\operatorname{spin}^c$-structure induced by the complex structure of $X$.

Seiberg–Witten invariant conjecture. The constants are the Seiberg–Witten invariants of the link, namely

$$\mathrm{const}_h=\operatorname{sw}_{h*\textsigma_{\mathrm{can}}}.$$

This is presented as a reinterpretation of the Seiberg–Witten Invariant Conjecture for the constants appearing in the cohomology formula for line bundles. The supplied text does not state whether the conjecture has been proved or disproved.