# Higher Algebraic K-Theory: an overview

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

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

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.

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

- 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
- About this book