The Seiberg�Witten invariant conjecture for splice-quotients

• Autores: András Némethi, Tomohiro Okuma
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 78, Nº 1, 2008, págs. 143-154
• Idioma: inglés
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• Resumen

  • 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.