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Seiberg-Witten Invariants, Alexander Polynomials, and Fibred Classes
- Thistlethwaite, Oliver James
- Advisor(s): Vidussi, Stefano
Abstract
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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