Integral transforms, such as the Laplace and Fourier transforms, have been major tools in mathematics for at least two centuries. In the last three decades the development of a number of novel ideas in algebraic geometry, category theory, gauge theory, and string theory has been closely related to generalizations of integral transforms of a more geometric character. "Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics" examines the algebro-geometric approach (Fourier-Mukai functors) as well as the differential-geometric constructions (Nahm). Also included is a considerable amount of material from existing literature which has not been systematically organized into a monograph. Key features: Basic constructions and definitions are presented in preliminary background chapters - Presentation explores applications and suggests several open questions - Extensive bibliography and index. This self-contained monograph provides an introduction to current research in geometry and mathematical physics and is intended for graduate students and researchers just entering this field.
發表於2024-12-23
Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics 2024 pdf epub mobi 電子書 下載
圖書標籤: 數學 Mathematics 同調代數 mathematics MP Algebra
本書第六章的附錄非常精彩,對於F-M transform和mirror symmetry(尤其是HMC)的聯係的解讀雖然篇幅比較簡略,但是如果結閤給的那些參考文獻,不失為是目前看到的最好的一個瞭~~哈哈,今天居然見到Nahm本人瞭
評分本書第六章的附錄非常精彩,對於F-M transform和mirror symmetry(尤其是HMC)的聯係的解讀雖然篇幅比較簡略,但是如果結閤給的那些參考文獻,不失為是目前看到的最好的一個瞭~~哈哈,今天居然見到Nahm本人瞭
評分本書第六章的附錄非常精彩,對於F-M transform和mirror symmetry(尤其是HMC)的聯係的解讀雖然篇幅比較簡略,但是如果結閤給的那些參考文獻,不失為是目前看到的最好的一個瞭~~哈哈,今天居然見到Nahm本人瞭
評分本書第六章的附錄非常精彩,對於F-M transform和mirror symmetry(尤其是HMC)的聯係的解讀雖然篇幅比較簡略,但是如果結閤給的那些參考文獻,不失為是目前看到的最好的一個瞭~~哈哈,今天居然見到Nahm本人瞭
評分本書第六章的附錄非常精彩,對於F-M transform和mirror symmetry(尤其是HMC)的聯係的解讀雖然篇幅比較簡略,但是如果結閤給的那些參考文獻,不失為是目前看到的最好的一個瞭~~哈哈,今天居然見到Nahm本人瞭
Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics 2024 pdf epub mobi 電子書 下載