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OverviewFull Product DetailsAuthor: Daniel S. Freed , Karen K. UhlenbeckPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 2nd ed. 1991. Softcover reprint of the original 2nd ed. 1991 Volume: 1 Dimensions: Width: 15.50cm , Height: 1.10cm , Length: 23.50cm Weight: 0.341kg ISBN: 9781461397052ISBN 10: 1461397057 Pages: 194 Publication Date: 14 December 2011 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Table of Contentsto the First Edition.- §1 Fake ?4.- Differentiable structures.- Topological 4-manifolds.- Differentiable 4-manifolds.- A surgical failure.- §2 The Yang-Mills Equations.- Connections.- Topological quantum numbers.- The Yang-Mills functional.- Line bundles.- Donaldson’s Theorem.- §3 Manifolds of Connections.- Sobolev spaces.- Reducible connections.- A slice theorem.- The parametrized moduli space.- The moduli space.- §4 Cones on ??2.- Slices again.- Structure of the singular point.- Perturbing the metric.- §5 Orientability.- Index bundles.- Components of.- The element — 1.- §6 Introduction to Taubes’ Theorem.- Instantons on S4.- A grafting procedure.- Tools from analysis.- Analytic properties of SDYME.- §7 Taubes’ Theorem.- Blowing up the metric.- The eigenvalue estimate.- The linearized equation.- Taubes’ projection.- §8 Compactness.- Compactness and regularity.- Measuring concentrated curvature.- Compactness in M.- §9 The Collar Theorem.- Decay estimates.- Conformal deformations.- Exponential gauges.- Connectivity of the collar.- § 10 The Technique of Fintushel and Stern.- The moduli space for SO(3) bundles.- Reducible connections.- Analytic details.- Appendix A The Group of Sobolev Gauge Transformations.- Appendix B The Pontrjagin-Thom Construction.- Appendix C Weitzenböck Formulas.- Appendix D The Removability of Singularities.- Appendix E Topological Remarks.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |