Handbook of K-theory

Eric Friedlander, Daniel R. Grayson9783540230199, 3-540-23019-X

This handbook presents the first compilation of techniques and results across much of the present state of the art in K-theory. Consisting of individual chapters, each an exposition of a particular subfield or line of development related to K-theory, written by an expert, it outlines fundamental ideas and techniques of the past, fundamental open problems, and exciting directions for future research. Much of the material presented here appears for the first time in book form. The intent of each chapter is present to the interested reader, be she an established K-theorist or someone interested in obtaining an overview of results, an exposition of both results and techniques in the literature as well as challenges for the future. The book should be especially useful for students and mathematicians interested in pursuing further research in this rapidly expanding field.