Books in the IAS/Park City Mathematics Series series

Offers a perspective on how 4-manifold theory was studied before the discovery of modern-day Seiberg-Witten theory. This book predates Donaldson's applications of the subject to 4-manifold topology, where the central concern was the geometry of the moduli space.

Based on lectures presented at the summer school on Harmonic Analysis, this voluume offers fresh, concise, and high-level introductions to recent developments in the field, often with new arguments not found elsewhere.