Peter Kronheimer is William Caspar Graustein Professor in the Department of Mathematics at Harvard University. He is a Fellow of the Royal Society and has been awarded several distinguished prizes including the 2007 Oswald Veblen Prize. He is co-author, with S. K. Donaldson, of The Geometry of Four-Manifolds. His research interests are gauge theory, low-dimensional topology and geometry.
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.
