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 |  |
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 |
doi | https://doi.org/10.1007/b11801 |
isbn_ebook | 978-0-8176-4663-9Series ISSN 0743-1643 Series E-ISSN 2296-505X |
issn_series | 0743-1643 |
copyright | Birkhäuser Boston 2009 |