Ronald Fintushel and Ronald
نویسنده
چکیده
In order to state our theorems we need to view the Seiberg-Witten invariant of a smooth 4manifold as a multivariable (Laurent) polynomial. To do this, recall that the Seiberg-Witten invariant of a smooth closed oriented 4-manifold X with b2 (X) > 1 is an integer valued function which is defined on the set of spin c structures over X, (cf. [W], [KM],[Ko1],[T1]). In caseH1(X,Z) has no 2-torsion (which will be the situation in this paper) there is a natural identification of the spin c structures of X with the characteristic elements of H2(X,Z). In this case we view the Seiberg-Witten invariant as
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