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MARC 21

Periodic Monopoles and Difference Modules
Tag	Description
020	$a9783030945008
082	$a516.36
099	$aOnline resource: Springer
100	$aMochizuki, Takuro$d1972-
245	$aPeriodic Monopoles and Difference Modules$h[EBook]$cTakuro Mochizuki
260	$aCham$bSpringer International Publishing$c2022
300	$bonline resource (xviii, 324 p.)
440	$aLecture notes in mathematics.$v2300
520	$aThis 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.
533	$aDigital reproduction.-$bCham :$cSpringer International Publishing,$d2022. -$nDigital 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
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
856	$uhttps://doi.org/10.1007/978-3-030-94500-8