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Verfasst von:Mochizuki, Takuro [VerfasserIn]   i
Titel:Periodic Monopoles and Difference Modules
Verf.angabe:by Takuro Mochizuki
Ausgabe:1st ed. 2022.
Verlagsort:Cham
Verlag:Springer International Publishing
E-Jahr:2022
Jahr:2022.
Umfang:1 Online-Ressource(XVIII, 324 p.)
Gesamttitel/Reihe:Lecture Notes in Mathematics ; 2300
 Springer eBook Collection
ISBN:978-3-030-94500-8
Abstract: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.
DOI:doi:10.1007/978-3-030-94500-8
URL:Resolving-System: https://doi.org/10.1007/978-3-030-94500-8
 DOI: https://doi.org/10.1007/978-3-030-94500-8
Schlagwörter:(s)Magnetischer Monopol   i / (s)Modulraum   i / (s)Yang-Mills-Theorie   i / (s)Stabiles Vektorraumbündel   i / (s)Instanton   i / (s)Periodizität   i / (s)Asymptotik   i
Datenträger:Online-Ressource
Sprache:eng
Bibliogr. Hinweis:Erscheint auch als : Druck-Ausgabe: Mochizuki, Takuro, 1972 - : Periodic monopoles and difference modules. - Cham : Springer, 2022. - xviii, 321 Seiten
K10plus-PPN:1794152636
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