Donaldson,
S. K. Donaldson,
Kronheimer,
P. B. Kronheimer
e.a.
The Geometry of Four-Manifolds
Paperback Engels 1997 9780198502692Levertijd ± 11 werkdagen
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Samenvatting
This book provides a lucid and accessible account to the modern study of the geometry of four-manifolds. The authors present both a thorough treatment of the main lines of these developments in four-manifold topology - notably the definition of new invariants of four-manifolds - and also a wide-ranging treatment of relevant topics from geometry and global analysis. All of the main theorems about Yang-Mills instantons on four-manifolds are proved in detail.
At the end of the book the different strands of the theory are brought together in the proofs of results which settle long-standing problems in four-manifolds topology and which are close to the frontiers of current research.
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Inhoudsopgave
Four-manifolds; Connections; The Fourier transform and ADHM construction; Yang-Mills moduli spaces; Topology and connections; Stable holomorphic bundles over Kähler surfaces; Excision and gluing; Non-existence results; Invariants of smooth four-manifolds; The differential topology of algebraic surfaces; Appendices; References and Index.
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