Complex Topological K-Theory (Cambridge Studies in Advanced Mathematics, Series Number 111) - Hardcover

Park, Efton

Hardcover

ISBN 10: 0521856345 ISBN 13: 9780521856348

Publisher: Cambridge University Press, 2008

Synopsis

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.

About this title

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, every aspect of the topic is covered, and exercises are included at the end of each chapter.

About the Author

Efton Park is a Professor in the Department of Mathematics at Texas Christian University.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2008
• ISBN 10: 0521856345
• ISBN 13: 9780521856348
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 218