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Other titles in the Mathematical Sciences Research Institute Publications series:
Instantons & Four - Manifoldsby Daniel S. Freed
Synopses & Reviews
From the reviews of the first edition: This book exposes the beautiful confluence of deep techniques and ideas from mathematical physics and the topological study of the differentiable structure of compact four-dimensional manifolds, compact spaces locally modeled on the world in which we live and operate... The book is filled with insightful remarks, proofs, and contributions that have never before appeared in print. For anyone attempting to understand the work of Donaldson and the applications of gauge theories to four-dimensional topology, the book is a must. #Science#1 I would strongly advise the graduate student or working mathematician who wishes to learn the analytic aspects of this subject to begin with Freed and Uhlenbeck's book. #Bulletin of the American Mathematical Society#2
Book News Annotation:
Corrected but (except for the inclusion of a 6-page "Survey of recent results") not substantially revised new edition of a work first published in 1984. The ultimate source of the work is a seminar organized by Michael Freedman at the Mathematical Sciences Research Institute in Berkeley, the objective of which was to review the details of "Donaldson's theorem". While the title suggests physics, this is state-of-the-art topology; Donaldson, however, took gauge field theory as a point of departure, and ramifications of his work promise to repay his debt to physics. Demanding stuff, but exciting, particularly to those who find themselves doing these days a lot of jaywalking between the physicists' and the mathematicians' sides of a busy street. (NW)
Annotation c. Book News, Inc., Portland, OR (booknews.com)
Includes bibliographical references (p. 184-189) and index.
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