Right Type Departmental Bulletin Paper

ABSTRACT. The Reidemeister-Turaev torsion is an invariant of 3-manifolds equipped with Spi$n $ structures. Here, a $Spin^{c} $ structure of a 3-manifold is a homology class of non-singular vector fields on it. Each Seifert fibered 3-manifold has a standard $Spin^{c}$ structure, which is represented as a non-singular vector field the set of whose orbits gives a Seifert fibration. This short note provides an algorithm for computing the Reidemeister-Turaev torsion of the standard $Spin^{c} $ structure on a Seifert fibered 3-manifold. The machinery used to compute the torsion is that of punctured Heegaard diagrams