热核与狄拉克算子 pdf epub mobi txt 电子书下载 2024

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世界图书出版公司

2009-8

363

49.00元

9787506292139

图书标签: 指标定理数学热核微分几何7 微分几何

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发表于2024-11-26

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热核与狄拉克算子 pdf epub mobi txt 电子书下载 2024

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《热核与狄拉克算子(英文版)》讲述了：This book, which began as a seminar in 1985 at MIT, contains complete proofs of thelocal index theorem for Dirac operators using the heat kernel approach, together withits generalizations to equivariant Dirac operators and families of Dirac operators, aswell as background material on superconnections and equivariant differential forms.

Since the publication of the first edition, the subjects treated here have contin-ued to find new applications. Equivariant cohomology plays an important role in thestudy of symplectic reduction, and Bismut superconnections and the local index the-orem for families have had many applications, through the construction of higheranalytic torsion forms and currents. （For a survey of some of these developments,we recommend reading Bismut's talk at the Berlin International Congress of Mathe-maticians, reference

Although this book lacks some of the usual attributes of a textbook （such asexercises）, it has been widely used in advanced courses in differential geometry;for many of the topics discussed here, there are no other treatments available inmonograph form. Because of the continuing demand from students for the book,we were very

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热核与狄拉克算子 pdf epub mobi txt 电子书下载

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自旋几何的升级版：重新诠释狄拉克算子是量子化的联络理论，狄拉克算子的平方根的热核的超迹是联络对应的陈特征。依照这个诠释，狄拉克的指标理论是热核与陈特征的关系，而这个关系不仅仅是上同调类的而是微分形式的，则指标理论和热核作为量子化的陈韦伊理论。热核算子是投影算子和恒等算子的插值。重新诠释和寻找新的联系

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