Seiberg-Witten moduli spaces for 3-manifolds with cylindrical-end \(T^2\times R^+\) (Q2707940)

This paper presents some technical results needed to complete the proof of a theorem which appears in an earlier paper of the author. The theorem states that, for any oriented homology \(3\)-sphere, the Casson invariant coincides with the Seiberg-Witten invariant (the latter adjusted by a combination of Atiyah-Patodi-Singer eta-invariants in order to be metric independent). NEWLINENEWLINENEWLINEThe issues addressed in the present article concern the structure of the Seiberg-Witten moduli space of a \(3\)-manifold \(Y\), when \(Y\) has a cylindrical end which is the product of a flat torus and the infinite ray \({\mathbf R}^+\), in the case \(b_1 (Y)\geq 1\).