Monopoles and Three-Manifolds

@inproceedings{Kronheimer2008MonopolesAT,
  title={Monopoles and Three-Manifolds},
  author={Peter B. Kronheimer and Tomasz S. Mrowka},
  year={2008}
}
Preface 1. Outlines 2. The Seiberg-Witten equations and compactness 3. Hilbert manifolds and perturbations 4. Moduli spaces and transversality 5. Compactness and gluing 6. Floer homology 7. Cobordisms and invariance 8. Non-exact perturbations 9. Calculations 10. Further developments References Glossary of notation Index. 
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324 Citations
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324 Citations

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AND CIPRIAN MANOLESCU in the sense
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Equivariant Floer theory and double covers of three-manifolds.
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Superconformal simple type and Witten's conjecture
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Unfolded Seiberg-Witten Floer spectra, II: Relative invariants and the gluing theorem
We use the construction of unfolded Seiberg-Witten Floer spectra of general 3-manifolds defined in our previous paper to extend the notion of relative Bauer-Furuta invariants to general 4-manifolds… Expand
Embedded contact homology and Seiberg-Witten Floer cohomology I
This is the first of five papers that construct an isomorphism between the embedded contact homology and Seiberg-Witten Floer cohomology of a compact 3-manifold with a given contact 1-form. This… Expand
Seiberg-Witten equation on a manifold with rank-2 foliation
Let $M$ be a closed oriented $4$-manifold admitting a rank-$2$ oriented foliation with a metric of leafwise positive scalar curvature. If $b^+>1$, then we will show that the Seiberg-Witten invariant… Expand
Floer theory and its topological applications
We survey the different versions of Floer homology that can be associated to three-manifolds. We also discuss their applications, particularly to questions about surgery, homology cobordism, and… Expand
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References

Review : Monopoles and three - manifolds by Peter Kronheimer and Tomasz Mrowka ( PDF )
  • 2009