Gauge Theory and the Topology of Four-Manifolds

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This text is part of the IAS/Park City Mathematics series and focuses on gauge theory and the topology of four-manifolds.

Instantons and Four-Manifolds

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From the reviews of the first edition: "This book exposes the beautiful confluence of deep techniques and ideas from mathematical physics and the topological st

The Geometry of Four-manifolds

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This text provides an accessible account to the modern study of the geometry of four-manifolds. Prerequisites are a firm grounding in differential topology and

The Wild World of 4-Manifolds

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What a wonderful book! I strongly recommend this book to anyone, especially graduate students, interested in getting a sense of 4-manifolds. --MAA Reviews The b

The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44), Volume 44

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The recent introduction of the Seiberg-Witten invariants of smooth four-manifolds has revolutionized the study of those manifolds. The invariants are gauge-theo