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Floer Homology Groups in Yang-Mills Theory (Cambridge Tracts in Mathematics)


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Click here to buy Floer Homology Groups in Yang-Mills Theory (Cambridge Tracts in Mathematics) by  S. K. Donaldson, M. Furuta, and D. Kotschick. Floer Homology Groups in Yang-Mills Theory (Cambridge Tracts in Mathematics)
by S. K. Donaldson, M. Furuta, and D. Kotschick
Sales Rank: 1876240
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  • Hardcover: 244 pages
  • Publisher: Cambridge University Press February 11, 2002
  • Language: English
  • ISBN-10: 0521808030
  • ISBN-13: 978-0521808033
  • Product Dimensions: 9.2 x 6.2 x 0.8 inches
  • Shipping Weight: 12 ounces

    Product Review
    "This book gives a thorough and extensive treatmentthis text is a wonderfully written exposition of Floer homology which no mathematics library should be without." Mathematical Reviews

    Product Description
    This monograph gives a thorough exposition of Floer's seminal work during the 1980s from a contemporary viewpoint. The material contained here was developed with specific applications in mind. However, it has now become clear that the techniques used are important for many current areas of research. An important example would be symplectic theory and gluing problems for self-dual metrics and other metrics with special holonomy. The author writes with the big picture constantly in mind. As well as a review of the current state of knowledge, there are sections on the likely direction of future research. Included in this are connections between Floer groups and the celebrated Seiberg-Witten invariants. The results described in this volume form part of the area known as Donaldson theory. The significance of this work is such that the author was awarded the prestigious Fields Medal for his contribution.

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