SeibergWitten Invariants, Alexander Polynomials, and Fibred Classes
Abstract
Since their introduction in 1994, the SeibergWitten invariants have become one of the main tools used in 4manifold theory. In this thesis, we will use these invariants to identify sufficient conditions for a 3manifold 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 4manifolds.
 Publication:

arXiv eprints
 Pub Date:
 February 2015
 arXiv:
 arXiv:1502.04270
 Bibcode:
 2015arXiv150204270T
 Keywords:

 Mathematics  Symplectic Geometry
 EPrint:
 Ph.D. thesis. Department of Mathematics, University of California, Riverside, 2014. Comments are welcome