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Titlebook: Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics; Claudio Bartocci,Ugo Bruzzo,Daniel Hernández Ruipé Book 2009 Birkh

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书目名称Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics
编辑Claudio Bartocci,Ugo Bruzzo,Daniel Hernández Ruipé
视频video
概述Provides an expository account of Fourier–Mukai and Nahm Transforms.Includes recent developments for which no thorough account exists.Includes supplementary material:
丛书名称Progress in Mathematics
图书封面Titlebook: Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics;  Claudio Bartocci,Ugo Bruzzo,Daniel Hernández Ruipé Book 2009 Birkh
描述.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..
出版日期Book 2009
关键词Fourier-Mukai partners; Gauge theory; Integral functors; Nahm transforms; Stability conditions; birationa
版次1
doihttps://doi.org/10.1007/b11801
isbn_ebook978-0-8176-4663-9Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightBirkhäuser Boston 2009
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