Complex Topological K-Theory

Complex Topological K-Theory
Author :
Publisher : Cambridge University Press
Total Pages : 11
Release :
ISBN-10 : 9781139469746
ISBN-13 : 1139469746
Rating : 4/5 (46 Downloads)

Book Synopsis Complex Topological K-Theory by : Efton Park

Download or read book Complex Topological K-Theory written by Efton Park and published by Cambridge University Press. This book was released on 2008-03-13 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Complex Topological K-Theory Related Books

Complex Topological K-Theory
Language: en
Pages: 11
Authors: Efton Park
Categories: Mathematics
Type: BOOK - Published: 2008-03-13 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Topological K-theory is a key tool in topology, differential geometry and index theory, yet this is the first contemporary introduction for graduate students ne
Bulk and Boundary Invariants for Complex Topological Insulators
Language: en
Pages: 217
Authors: Emil Prodan
Categories: Science
Type: BOOK - Published: 2016-02-05 - Publisher: Springer

DOWNLOAD EBOOK

This monograph offers an overview of rigorous results on fermionic topological insulators from the complex classes, namely, those without symmetries or with jus
K-theory
Language: en
Pages: 181
Authors: Michael Atiyah
Categories: Mathematics
Type: BOOK - Published: 2018-03-05 - Publisher: CRC Press

DOWNLOAD EBOOK

These notes are based on the course of lectures I gave at Harvard in the fall of 1964. They constitute a self-contained account of vector bundles and K-theory a
K-Theory
Language: en
Pages: 337
Authors: Max Karoubi
Categories: Mathematics
Type: BOOK - Published: 2009-11-27 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

From the Preface: K-theory was introduced by A. Grothendieck in his formulation of the Riemann- Roch theorem. For each projective algebraic variety, Grothendiec
Characteristic Classes
Language: en
Pages: 342
Authors: John Willard Milnor
Categories: Mathematics
Type: BOOK - Published: 1974 - Publisher: Princeton University Press

DOWNLOAD EBOOK

The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomo