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Instantons and Four-Manifolds

  • Book
  • © 1991

Overview

Authors:
  1. Daniel S. Freed

    1. Department of Mathematics, University of Texas at Austin, Austin, USA

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  2. Karen K. Uhlenbeck

    1. Department of Mathematics, University of Texas at Austin, Austin, USA

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    You can also search for this author in PubMed   Google Scholar

  3. Mathematical Sciences Research Institute

    1. Berkeley, USA

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Part of the book series: Mathematical Sciences Research Institute Publications (MSRI, volume 1)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xxi
    Download chapter PDF

  2. Introduction to the First Edition

    • Daniel S. Freed, Karen K. Uhlenbeck, Mathematical Sciences Research Institute
    Pages 1-11

  3. Glossary

    • Daniel S. Freed, Karen K. Uhlenbeck, Mathematical Sciences Research Institute
    Pages 12-14

  4. Fake ℝ4

    • Daniel S. Freed, Karen K. Uhlenbeck, Mathematical Sciences Research Institute
    Pages 15-27

  5. The Yang-Mills Equations

    • Daniel S. Freed, Karen K. Uhlenbeck, Mathematical Sciences Research Institute
    Pages 28-43

  6. Manifolds of Connections

    • Daniel S. Freed, Karen K. Uhlenbeck, Mathematical Sciences Research Institute
    Pages 44-62

  7. Cones on ℂℙ2

    • Daniel S. Freed, Karen K. Uhlenbeck, Mathematical Sciences Research Institute
    Pages 63-73

  8. Orientability

    • Daniel S. Freed, Karen K. Uhlenbeck, Mathematical Sciences Research Institute
    Pages 74-82

  9. Introduction to Taubes’ Theorem

    • Daniel S. Freed, Karen K. Uhlenbeck, Mathematical Sciences Research Institute
    Pages 83-99

  10. Taubes’ Theorem

    • Daniel S. Freed, Karen K. Uhlenbeck, Mathematical Sciences Research Institute
    Pages 100-116

  11. Compactness

    • Daniel S. Freed, Karen K. Uhlenbeck, Mathematical Sciences Research Institute
    Pages 117-132

  12. The Collar Theorem

    • Daniel S. Freed, Karen K. Uhlenbeck, Mathematical Sciences Research Institute
    Pages 133-153

  13. The Technique of Fintushel and Stern

    • Daniel S. Freed, Karen K. Uhlenbeck, Mathematical Sciences Research Institute
    Pages 154-159

  14. Back Matter

    Pages 160-194
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About this book

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

Authors and Affiliations

  • Department of Mathematics, University of Texas at Austin, Austin, USA

    Daniel S. Freed, Karen K. Uhlenbeck

  • Berkeley, USA

    Mathematical Sciences Research Institute

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