| 书目名称 | Periodic Monopoles and Difference Modules |
| 编辑 | Takuro Mochizuki |
| 视频video | |
| 概述 | Describes a new equivalence between objects in differential and algebraic geometry.Provides a foundation for the study of difference modules from both differential and algebraic geometry viewpoints.St |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | This book studies a class of monopoles defined by certain mild conditions, called periodic monopoles of generalized Cherkis–Kapustin (GCK) type. It presents a classification of the latter in terms of difference modules with parabolic structure, revealing a kind of Kobayashi–Hitchin correspondence between differential geometric objects and algebraic objects. It also clarifies the asymptotic behaviour of these monopoles around infinity..The theory of periodic monopoles of GCK type has applications to Yang–Mills theory in differential geometry and to the study of difference modules in dynamical algebraic geometry. A complete account of the theory is given, including major generalizations of results due to Charbonneau, Cherkis, Hurtubise, Kapustin, and others, and a new and original generalization of the nonabelian Hodge correspondence first studied by Corlette, Donaldson, Hitchin and Simpson..This work will be of interest to graduatestudents and researchers in differential and algebraic geometry, as well as in mathematical physics.. |
| 出版日期 | Book 2022 |
| 关键词 | Monopole; DifferenceModule; Kobayashi-Hitchin Correspondence; Parabolic Structure; λ-Connections |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-94500-8 |
| isbn_softcover | 978-3-030-94499-5 |
| isbn_ebook | 978-3-030-94500-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 19:36:51
