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The Seiberg–Witten invariant conjecture for splice‐quotients
Author(s) -
Némethi András,
Okuma Tomohiro
Publication year - 2008
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdn020
Subject(s) - singularity , quotient , conjecture , gravitational singularity , invariant (physics) , mathematics , pure mathematics , isolated singularity , topology (electrical circuits) , combinatorics , mathematical analysis , mathematical physics
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 spin c structure) of the link. This answers positively the conjecture formulated by the first author and Nicolaescu.