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Higher Algebraic K-Theory: an overview

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

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

Table of contents

  1. Front Matter
    Pages I-IX
  2. Emilio Iluis-Puebla
    Pages 1-30
  3. Christophe Soulé
    Pages 100-132

About this book

Introduction

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

  • DOI https://doi.org/10.1007/BFb0088876
  • Copyright Information Springer-Verlag Berlin Heidelberg 1992
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-55007-5
  • Online ISBN 978-3-540-46639-0
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site
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