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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.

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