Seiberg-Witten Invariants, Alexander Polynomials, and Fibred Classes
Symplectic Geometry
2015-03-12 v2
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.
Cite
@article{arxiv.1502.04270,
title = {Seiberg-Witten Invariants, Alexander Polynomials, and Fibred Classes},
author = {Oliver Thistlethwaite},
journal= {arXiv preprint arXiv:1502.04270},
year = {2015}
}
Comments
Ph.D. thesis. Department of Mathematics, University of California, Riverside, 2014. Comments are welcome