Analytic K-Homology

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Nigel Higson (Professor of Mathematics, Professor of Mathematics, Pennsylvania State University) John Roe (Professor of Mathematics, Professor of Mathematics, Pennsylvania State University)

Analytic K-Homology

Nigel Higson (Professor of Mathematics, Professor of Mathematics, Pennsylvania State University), John Roe (Professor of Mathematics, Professor of Mathematics, Pennsylvania State University)

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English

Oxford University Press
01 February 2001

Calculus & mathematical analysis; Geometry; Algebraic topology

Series: Oxford Mathematical Monographs

Analytic K-homology draws together ideas from algebraic topology, functional analysis and geometry.

It is a tool - a means of conveying information among these three subjects - and it has been used with specacular success to discover remarkable theorems across a wide span of mathematics.

The purpose of this book is to acquaint the reader with the essential ideas of analytic K-homology and develop some of its applications.

It includes a detailed introduction to the necessary functional analysis, followed by an exploration of the connections between K-homology and operator theory, coarse geometry, index theory, and assembly maps, including a detailed treatment of the Atiyah-Singer Index Theorem.

Beginning with the rudiments of C
* - algebra theory, the book will lead the reader to some central notions of contemporary research in geometric functional analysis.

Much of the material included here has never previously appeared in book form.

By: Nigel Higson (Professor of Mathematics Professor of Mathematics Pennsylvania State University), John Roe (Professor of Mathematics, Professor of Mathematics, Pennsylvania State University)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 247mm, Width: 161mm, Spine: 28mm
Weight: 720g
ISBN: 9780198511762
ISBN 10: 0198511760
Series: Oxford Mathematical Monographs
Pages: 424
Publication Date: 01 February 2001
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active