简介
The idea that Yang-Mills theory (physics) might serve to illuminate deep problems in the geometry of four-manifolds (topology) has served since about 1984 to energize the work of mathematicians and physicists alike, and has stimulated a good deal of excited interaction between specialists who had appeared for awhile to have less and less to say to each other. The idea is due in large p art to the principal author of this monograph. He writes here in fairly leisurely depth about the richly ramified mathematics of the situation, and for the benefit primarily of mathematicians. The beautifully produced book will, however, be of deep interest to sufficiently well-prepared physicists. (NW)
目录
Four-Manifolds
Connections
The Fourier Transform and ADHM Construction
Yang-Mills Moduli Spaces
Topology and Connections
Stable Holomorphic Bundles over Kahler Surfaces
Excision and Gluing
Non-Existence Results
Invariants of Smooth Four-Manifolds
The Differential Topology of Algebraic Surfaces
Connections
The Fourier Transform and ADHM Construction
Yang-Mills Moduli Spaces
Topology and Connections
Stable Holomorphic Bundles over Kahler Surfaces
Excision and Gluing
Non-Existence Results
Invariants of Smooth Four-Manifolds
The Differential Topology of Algebraic Surfaces
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