Complex topological K-theory /
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 analysi...
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| Format: | Book |
| Language: | English |
| Published: |
Cambridge ; New York :
Cambridge University Press,
2008
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| Series: | Cambridge studies in advanced mathematics ;
111 |
| Subjects: |
| Summary: | 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 |
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| Physical Description: | 1 online resource (x, 208 pages) : illustrations |
| Bibliography: | Includes bibliographical references and index |
| ISBN: | 0511380879 0511384858 0511386680 0511387687 0511388691 0511611471 0521856345 9780511380877 9780511384851 9780511386688 9780511387685 9780511388699 9780511611476 9780521856348 |