# Seiberg-Witten Invariants, Alexander Polynomials, and Fibred Classes

@article{Thistlethwaite2014SeibergWittenIA, title={Seiberg-Witten Invariants, Alexander Polynomials, and Fibred Classes}, author={Oliver Thistlethwaite}, journal={arXiv: Symplectic Geometry}, year={2014} }

Since their introduction in 1994, the Seiberg-Witten invariants have becomeone of the main tools used in 4-manifold theory. In this thesis, we will use these invariantsto identify sufficient conditions for a 3-manifold to fibre over a circle. Additionally, wewill construct several examples of genus 1 and 2 surface bundles and prove their totalspaces are spin 4-manifolds.Â

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