Corpus ID: 119009978

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. 

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References

SHOWING 1-10 OF 38 REFERENCES
THE SEIBERG-WITTEN INVARIANTS AND SYMPLECTIC FORMS
  • 551
  • PDF
SEIBERG–WITTEN INVARIANTS OF 4-MANIFOLDS WITH FREE CIRCLE ACTIONS
  • 32
  • Highly Influential
  • PDF
Twisted Alexander polynomials detect fibered 3-manifolds
  • 61
  • PDF
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds
  • 393
  • Highly Influential
  • PDF
The Alexander polynomial of a 3-manifold and the Thurston norm on cohomology
  • 133
  • PDF
Symplectic 4--manifolds with K = 0 and the Lubotzky alternative
  • 8
  • PDF
Geometry of four-manifolds
  • 1,447
Minimality and irreducibility of symplectic four-manifolds
  • 31
  • PDF
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