| Dewey Class |
516.36 |
| Titel |
Periodic Monopoles and Difference Modules ([EBook]) / Takuro Mochizuki |
| Verfasser |
Mochizuki, Takuro , 1972- |
| Veröffentl |
Cham : Springer International Publishing , 2022 |
| Physical Details |
: online resource (xviii, 324 p.) |
| Reihe |
Lecture Notes in Mathematics ; 2300 |
| ISBN |
9783030945008 |
| Summary Note |
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 graduate students and researchers in differential and algebraic geometry, as well as in mathematical physics.: |
| Mode of acces to digital resource |
Digital reproduction.- Cham : Springer International Publishing, 2022. - Digital book. Cham Springer Nature 2022. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
https://doi.org/10.1007/978-3-030-94500-8 |
| LINKS ZU 'VERWANDTEN WERKEN |
Schlagwörter: .
Algebraic Geometry .
Differential Geometry .
Mathematical Physics .
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