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  3. Complex Topological K-Theory
  • Cited by 9
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    • Publisher:
      Cambridge University Press
      Publication date:
      October 2009
      March 2008
      ISBN:
      9780511611476
      9780521856348
      DOI:
      https://doi.org/10.1017/CBO9780511611476
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.428kg, 218 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Geometry and Topology
      Series:
      Cambridge Studies in Advanced Mathematics (111)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Geometry and Topology
    Series:
    Cambridge Studies in Advanced Mathematics (111)
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    Book description

    Topological K-theory is a key tool in topology, differential geometry and index theory, yet this is the first contemporary introduction for graduate students new to the subject. No background in algebraic topology is assumed; the reader need only have taken the standard first courses in real analysis, abstract algebra, and point-set topology. The book begins with a detailed discussion of vector bundles and related algebraic notions, followed by the definition of K-theory and proofs of the most important theorems in the subject, such as the Bott periodicity theorem and the Thom isomorphism theorem. The multiplicative structure of K-theory and the Adams operations are also discussed and the final chapter details the construction and computation of characteristic classes. With every important aspect of the topic covered, and exercises at the end of each chapter, this is the definitive book for a first course in topological K-theory.

    Reviews

    '… the presentation is very nice and the book can be strongly recommended.'

    Source: European Mathematical Society Newsletter

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