Table of Contents

1: Four-manifolds 2: Connections 3: The Fourier transform and ADHM construction 4: Yang-Mills moduli spaces 5: Topology and connections 6: Stable holomorphic bundles over Kahler surfaces 7: Excision and glueing 8: Non-existence results 9: Invariants of smooth four-manifolds 10: The differential topology of algebraic surfaces Appendix References Index

About the Author

Professor S. K. Donaldson, Mathematical Institute, University of Oxford, 24-29 St Giles, Oxford, OX1 3LB. Professor P. B. Kronheimer, Department of Mathematics, Harvard University, 1 Oxford Street, Cambridge, MA 02138-2901, USA. Professor Donaldson won the Fields Medal for his work in the area of four-manifolds.

Reviews

`... authoritative and comprehensive... it must be regarded as compulsory reading for any young researcher approaching this difficult but fascinating area.' Bulletin of the London Mathematical Society