Complex Topological K-Theory

Complex Topological K-Theory pdf epub mobi txt 电子书 下载 2025

出版者:Cambridge University Press
作者:Efton Park
出品人:
页数:218
译者:
出版时间:2008-3-13
价格:GBP 57.00
装帧:Hardcover
isbn号码:9780521856348
丛书系列:
图书标签:
  • 数学 
  • K理论 
  • 拓扑 
  • 代数拓扑 
  • 凝聚态 
  • 代数拓扑7 
  •  
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Topological K-theory is a key tool in topology, differential geometry and index theory, yet this is the first contemporary introduction for graduate students new to the subject. No background in algebraic topology is assumed; the reader need only have taken the standard first courses in real analysis, abstract algebra, and point-set topology. The book begins with a detailed discussion of vector bundles and related algebraic notions, followed by the definition of K-theory and proofs of the most important theorems in the subject, such as the Bott periodicity theorem and the Thom isomorphism theorem. The multiplicative structure of K-theory and the Adams operations are also discussed and the final chapter details the construction and computation of characteristic classes. With every important aspect of the topic covered, and exercises at the end of each chapter, this is the definitive book for a first course in topological K-theory.

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介绍拓扑K-理论入门读物,讲得比较详细,可惜有一些小错误。

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入門讀物。快開學了沒空所以讀這個。第一章用比較奇妙的思路證了 Serre-Swan,第二三章基本是 Atiyah 的第二章打散重組、把所有的證明用冪等矩陣重新寫一遍的結果。小錯奇多,就跟沒校過似的。

评分

入門讀物。快開學了沒空所以讀這個。第一章用比較奇妙的思路證了 Serre-Swan,第二三章基本是 Atiyah 的第二章打散重組、把所有的證明用冪等矩陣重新寫一遍的結果。小錯奇多,就跟沒校過似的。

评分

介绍拓扑K-理论入门读物,讲得比较详细,可惜有一些小错误。

评分

介绍拓扑K-理论入门读物,讲得比较详细,可惜有一些小错误。

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