The Geometry and Physics of Knots pdf epub mobi txt 电子书下载 2024

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Michael Atiyah

Cambridge University Press

1990-10-26

108

USD 28.99

Paperback

9780521395540

图书标签: 数学物理 Geometry Knots 1990 绳结 Cambridge 经典

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发表于2024-11-22

The Geometry and Physics of Knots epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

The Geometry and Physics of Knots pdf epub mobi txt 电子书下载 2024

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These notes arise from lectures presented in Florence under the auspices of the Accadamia dei Lincee and deal with an area that lies at the crossroads of mathematics and physics. The material presented here rests primarily on the pioneering work of Vaughan Jones and Edward Witten relating polynomial invariants of knots to a topological quantum field theory in 2+1 dimensions. Professor Atiyah here presents an introduction to Witten's ideas from the mathematical point of view. The book will be essential reading for all geometers and gauge theorists as an exposition of new and interesting ideas in a rapidly developing area.

The Geometry and Physics of Knots 下载 mobi epub pdf txt 电子书

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The Geometry and Physics of Knots pdf epub mobi txt 电子书下载

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现代数学是有一条主线的：围绕着莫尔斯理论-阿蒂亚指标定理，witten的物理化和Grothendieck的代数化，代数几何与现代物理就这样开始了。本书总体讲解了量子场论和低维拓扑的关系：Witten：四维流形关于杨米尔斯场Donaldson理论和Floer有关看做3+1维拓扑量子场论；琼斯多项式看做2+1维量子场论；把紧流形上的Dirac算子的指标定理解释成loop空间上的形式正则泛函积分Atiyah-Singer指标定理其实是道路空间上的一个简单积分公式。

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