Resumen de The Seiberg�Witten invariant conjecture for splice-quotients

András Némethi, Tomohiro Okuma

• Splice-quotient singularities were introduced recently and studied intensively by Neumann and Wahl. For such a singularity we prove that the geometric genus can be recovered from the topology of the singularity, namely from the Seiberg�Witten invariant (associated with the canonical spinc structure) of the link. This answers positively the conjecture formulated by the first author and Nicolaescu.