Torsion invariants of Spin\(^c\)-structures on 3-manifolds (Q1378336)

The Seiberg-Witten invariant of a closed oriented \(3\)-manifold is closely related to a Reidemeister type torsion. The author discusses relationships between \(\text{Spin}^c\)-structures and torsions. He shows that the torsion of a \(3\)-manifold is a finite linear combination of homology classes and he defines a numerical invariant of \(\text{Spin}^c\)-structures on \(3\)-manifolds.