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The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds
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简体网页||繁体网页
John W. Morgan 作者
Princeton University Press
译者
1995-12-11 出版日期
130 页数
USD 62.50 价格
Paperback
Mathematical Notes 丛书系列
9780691025971 图书编码

The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds 在线电子书 图书标签: 数学  微分拓扑7  Math   

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发表于2024-07-06

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The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024


The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds 在线电子书 用户评价

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detailed explanation of SW functional.

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detailed explanation of SW functional.

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detailed explanation of SW functional.

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detailed explanation of SW functional.

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detailed explanation of SW functional.

The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds 在线电子书 著者简介

The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds 在线电子书 图书目录

The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds 在线电子书 图书描述

The recent introduction of the Seiberg-Witten invariants of smooth four-manifolds has revolutionized the study of those manifolds. The invariants are gauge-theoretic in nature and are close cousins of the much-studied SU(2)-invariants defined over fifteen years ago by Donaldson. On a practical level, the new invariants have proved to be more powerful and have led to a vast generalization of earlier results. This book is an introduction to the Seiberg-Witten invariants. The work begins with a review of the classical material on Spin c structures and their associated Dirac operators. Next comes a discussion of the Seiberg-Witten equations, which is set in the context of nonlinear elliptic operators on an appropriate infinite dimensional space of configurations. It is demonstrated that the space of solutions to these equations, called the Seiberg-Witten moduli space, is finite dimensional, and its dimension is then computed. In contrast to the SU(2)-case, the Seiberg-Witten moduli spaces are shown to be compact. The Seiberg-Witten invariant is then essentially the homology class in the space of configurations represented by the Seiberg-Witten moduli space. The last chapter gives a flavor for the applications of these new invariants by computing the invariants for most Kahler surfaces and then deriving some basic toological consequences for these surfaces.

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