Analytic K-Homology

preview-18
  • Analytic K-Homology Book Detail

  • Author : Nigel Higson
  • Release Date : 2000-12-07
  • Publisher : OUP Oxford
  • Genre : Mathematics
  • Pages : 426
  • ISBN 13 : 0191589209
  • File Size : 51,51 MB

Analytic K-Homology by Nigel Higson PDF Summary

Book Description: 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.

Disclaimer: www.yourbookbest.com does not own Analytic K-Homology books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Analytic K-Homology

Analytic K-Homology

File Size : 31,31 MB
Total View : 5063 Views
DOWNLOAD

Analytic K-homology draws together ideas from algebraic topology, functional analysis and geometry. It is a tool - a means of conveying information among these

The $K$-book

The $K$-book

File Size : 73,73 MB
Total View : 5014 Views
DOWNLOAD

Informally, $K$-theory is a tool for probing the structure of a mathematical object such as a ring or a topological space in terms of suitably parameterized vec

K-theory

K-theory

File Size : 19,19 MB
Total View : 8924 Views
DOWNLOAD

These notes are based on the course of lectures I gave at Harvard in the fall of 1964. They constitute a self-contained account of vector bundles and K-theory a

Algebraic K-Theory and Its Applications

Algebraic K-Theory and Its Applications

File Size : 67,67 MB
Total View : 3080 Views
DOWNLOAD

Algebraic K-Theory is crucial in many areas of modern mathematics, especially algebraic topology, number theory, algebraic geometry, and operator theory. This t