The Theory of Gauge Fields in Four Dimensions 2024 pdf epub mobi 电子书


The Theory of Gauge Fields in Four Dimensions

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发表于2024-12-23

The Theory of Gauge Fields in Four Dimensions 2024 pdf epub mobi 电子书

The Theory of Gauge Fields in Four Dimensions 2024 pdf epub mobi 电子书

The Theory of Gauge Fields in Four Dimensions 2024 pdf epub mobi 电子书



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出版者:American Mathematical Society
作者:Lawson, H. Blaine
出品人:
页数:101
译者:
出版时间:1985-12-31
价格:USD 27
装帧:Pap
isbn号码:9780821807088
丛书系列:Conference Board of the Mathematical Sciences

图书标签: geometry   


The Theory of Gauge Fields in Four Dimensions 2024 pdf epub mobi 电子书 图书描述

Lawson's expository lectures, presented at a CBMS Regional Conference held in Santa Barbara in August 1983, provide an in-depth examination of the recent work of Simon Donaldson, and is of special interest to both geometric topologists and differential geometers. This work has excited particular interest, in light of Mike Freedman's recent profound results: the complete classification, in the simply connected case, of compact topological 4-manifolds. Arguing from deep results in gauge field theory, Donaldson has proved the nonexistence of differentiable structures on certain compact 4-manifolds. Together with Freedman's results, Donaldson's work implies the existence of exotic differentiable structures in $mathbb R^4$-a wonderful example of the results of one mathematical discipline yielding startling consequences in another. The lectures are aimed at mature mathematicians with some training in both geometry and topology, but they do not assume any expert knowledge. In addition to a close examination of Donaldson's arguments, Lawson also presents, as background material, the foundation work in gauge theory (Uhlenbeck, Taubes, Atiyah, Hitchin, Singer, et al.) which underlies Donaldson's work.

The Theory of Gauge Fields in Four Dimensions 2024 pdf epub mobi 电子书

The Theory of Gauge Fields in Four Dimensions 2024 pdf epub mobi 电子书
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