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


The Theory of Gauge Fields in Four Dimensions

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Lawson, H. Blaine
American Mathematical Society
1985-12-31
101
USD 27
Pap
Conference Board of the Mathematical Sciences
9780821807088

圖書標籤: geometry   


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发表于2024-11-08

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

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

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



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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 下載 mobi epub pdf txt 電子書

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