Handbook of K-Theory, 1st Edition

  • Published By:
  • ISBN-10: 3540278559
  • ISBN-13: 9783540278559
  • Grade Level Range: College Freshman - College Senior
  • eBook
  • Original Copyright 2006 | Published/Released March 2007
  • This publication's content originally published in print form: 2006

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Providing a compilation of techniques and results in the highly advanced mathematical analysis known as K-theory, this title includes multiple chapters, each of which is dedicated to a specific topic and is written by a leading expert. Many chapters present historical background; some present previously unpublished results, whereas some present the first expository account of a topic; many discuss future directions as well as open problems. The overall intent of this handbook is to offer the interested reader an exposition of our current state of knowledge as well as an implicit blueprint for future research.

This handbook should be especially useful for students wishing to obtain an overview of K-theory and for mathematicians interested in pursuing challenges in this rapidly expanding field.

Titles in this bundle include:

  • Handbook of Number Theory I
  • Handbook of Number Theory II

Table of Contents

Front Cover.
Half Title Page.
Title Page.
Copyright Page.
Table of Contents – Volume 1.
Table of Contents – Volume 2.
List of Contributors.
1: Foundations and Computations.
2: Deloopings in Algebraic K-Theory.
3: The Motivic Spectral Sequence.
4: K-Theory of Truncated Polynomial Algebras.
5: Bott Periodicity in Topological, Algebraic and Hermitian K-Theory.
6: Algebraic K-Theory of Rings of Integers in Local and Global Fields.
7: K-Theory and Algebraic Geometry.
8: Motivic Cohomology, K-Theory and Topological Cyclic Homology.
9: K-Theory and Intersection Theory.
10: Regulators.
11: Algebraic K-Theory, Algebraic Cycles and Arithmetic Geometry.
12: Mixed Motives.