The Theory of Gauge Fields in Four Dimensions 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Lawson, H. Blaine 作者

American Mathematical Society

譯者

1985-12-31 出版日期

101 頁數

USD 27 價格

Pap

Conference Board of the Mathematical Sciences 叢書系列

9780821807088 圖書編碼

The Theory of Gauge Fields in Four Dimensions 在線電子書圖書標籤: geometry

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The Theory of Gauge Fields in Four Dimensions 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

The Theory of Gauge Fields in Four Dimensions 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

The Theory of Gauge Fields in Four Dimensions 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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The Theory of Gauge Fields in Four Dimensions 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

The Theory of Gauge Fields in Four Dimensions 在線電子書圖書描述

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.

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