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Connections, Definite Forms, and Four-manifolds (Oxford Mathematical Monographs)

Ted Petrie, John Randall




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 | #1863355 in Books |  1991-02-28 | Ingredients: Example Ingredients | Original language:English | PDF # 1 |  9.50 x.63 x6.31l,.81 | File type: PDF | 144 pages

|| |'For topologists it might be the easiest way into parts of the theory which was started by Donaldson.' P. Michor, Moatshefte fur Mathematik, Vol. 112, 1991, No. 3

The central theme of this book is the study of self-dual connections on four-manifolds. The author's aim is to present a lucid introduction to moduli space techniques (for vector bundles with SO (3) as structure group) and to apply them to four-manifolds. The authors have adopted a topologists' perspective. For example, they have included some explicit calculations using the Atiyah-Singer index theorem as well as methods from equivariant topology in the study of the topo...

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