Non-commutative Geometry

Non-commutative Geometry pdf epub mobi txt 电子书 下载 2025

出版者:World Scientific Pub Co Inc
作者:Kar, Supriva
出品人:
页数:250
译者:
出版时间:2002-10
价格:$ 53.11
装帧:HRD
isbn号码:9789812380524
丛书系列:
图书标签:
  • 数学
  • 非交换几何
  • 代数
  • 拓扑学
  • 量子物理
  • 算子代数
  • K理论
  • 谱理论
  • 泛函分析
  • 几何学
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具体描述

A systematic and comprehensive account of developments in non-commutative geometry, at a pedagogical level. It does not go into the details of rigorous (advanced level) mathematical formulation of non-commutative geometry; rather, it restricts itself to the domain of strings and quantum fields. Since non-commutative geometry has aroused revived interest in open string theory, the author motivates the text from the viewpoint of a string theory. He begins with an introduction to the subject, explaining what one means by non-commutative geometry and why it is relevant to study such geometry, and discussing its possible origin in a string theory. The text comprises five chapters. Chapter 1 gives a mathematical introduction. In Chapter 2, non-commutativity in an open bosonic string theory is discussed with explicit calculations. Chapter 3 deals with non-commutative quantum fields, their dynamics and some of their interactions. In Chapter 4, some of the classical solutions of non-commutative string and field theories are discussed. Chapter 5 treats some applications of non-commutative theory. Students should find this book useful as a bridge between string and field theories. It should also prove useful for interdisciplinary areas of study.

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