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  • © 1992

Higher Algebraic K-Theory: An Overview

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1491)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-IX
  2. Introduction to algebraic K-theory

    • Emilio Iluis-Puebla
    Pages 1-30
  3. Algebraic K-theory of the integers

    • Christophe Soulé
    Pages 100-132

About this book

This book is a general introduction to Higher Algebraic K-groups of rings and algebraic varieties, which were first defined by Quillen at the beginning of the 70's. These K-groups happen to be useful in many different fields, including topology, algebraic geometry, algebra and number theory. The goal of this volume is to provide graduate students, teachers and researchers with basic definitions, concepts and results, and to give a sampling of current directions of research. Written by five specialists of different parts of the subject, each set of lectures reflects the particular perspective ofits author. As such, this volume can serve as a primer (if not as a technical basic textbook) for mathematicians from many different fields of interest.

Keywords

  • K-theory
  • cohomology
  • cyclic (co)homology
  • homology
  • quadratic forms
  • vector bundles
  • zeta function

Bibliographic Information

  • Book Title: Higher Algebraic K-Theory: An Overview

  • Authors: Emilio Lluis-Puebla, Jean-Louis Loday, Henri Gillet, Christophe Soulé, Victor Snaith

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0088876

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1992

  • Softcover ISBN: 978-3-540-55007-5Published: 25 March 1992

  • eBook ISBN: 978-3-540-46639-0Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 166

  • Topics: Algebra, Algebraic Topology, Number Theory, Algebraic Geometry, K-Theory

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions