Fiber Sum Formulae for the Casson-Seiberg-Witten Invariant of Integral Homology S1 × S3
Abstract
We prove the additivity of the Casson-Seiberg-Witten invariant of integral homology S1 × S3 under fiber sum along embedded curves and embedded tori, which is the 4-dimensional analogue of the additivity of the Casson invariant under connected-sum and splicing along knots.
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