Seiberg-Witten Invariants, Alexander Polynomials, and Fibred Classes
Since their introduction in 1994, the Seiberg-Witten invariants have become
one of the main tools used in 4-manifold theory. In this thesis, we will use these invariants
to identify sufficient conditions for a 3-manifold to fibre over a circle. Additionally, we
will construct several examples of genus 1 and 2 surface bundles and prove their total
spaces are spin 4-manifolds.