001444697 000__ 02976cam\a2200529Ii\4500
001444697 001__ 1444697
001444697 003__ OCoLC
001444697 005__ 20230310003723.0
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001444697 019__ $$a1301449141$$a1301485641$$a1301772001
001444697 020__ $$a9783030945008$$q(electronic bk.)
001444697 020__ $$a3030945006$$q(electronic bk.)
001444697 020__ $$z9783030944995
001444697 020__ $$z3030944999
001444697 0247_ $$a10.1007/978-3-030-94500-8$$2doi
001444697 035__ $$aSP(OCoLC)1300781100
001444697 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dEBLCP$$dOCLCO$$dOCLCF$$dOCLCO$$dOCLCQ
001444697 049__ $$aISEA
001444697 050_4 $$aQA641
001444697 08204 $$a516.3/6$$223
001444697 1001_ $$aMochizuki, Takuro,$$d1972-$$eauthor.
001444697 24510 $$aPeriodic monopoles and difference modules /$$cTakuro Mochizuki.
001444697 264_1 $$aCham, Switzerland :$$bSpringer,$$c2022.
001444697 300__ $$a1 online resource (xviii, 324 pages)
001444697 336__ $$atext$$btxt$$2rdacontent
001444697 337__ $$acomputer$$bc$$2rdamedia
001444697 338__ $$aonline resource$$bcr$$2rdacarrier
001444697 4901_ $$aLecture notes in mathematics,$$x1617-9692 ;$$vvolume 2300
001444697 504__ $$aIncludes bibliographical references and index.
001444697 506__ $$aAccess limited to authorized users.
001444697 520__ $$aThis book studies a class of monopoles defined by certain mild conditions, called periodic monopoles of generalized Cherkis-Kapustin (GCK) type. It presents a classification of the latter in terms of difference modules with parabolic structure, revealing a kind of Kobayashi-Hitchin correspondence between differential geometric objects and algebraic objects. It also clarifies the asymptotic behaviour of these monopoles around infinity. The theory of periodic monopoles of GCK type has applications to Yang-Mills theory in differential geometry and to the study of difference modules in dynamical algebraic geometry. A complete account of the theory is given, including major generalizations of results due to Charbonneau, Cherkis, Hurtubise, Kapustin, and others, and a new and original generalization of the nonabelian Hodge correspondence first studied by Corlette, Donaldson, Hitchin and Simpson. This work will be of interest to graduate students and researchers in differential and algebraic geometry, as well as in mathematical physics.
001444697 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed March 1, 2022).
001444697 650_0 $$aGeometry, Differential.
001444697 650_0 $$aYang-Mills theory.
001444697 650_6 $$aGéométrie différentielle.
001444697 650_6 $$aThéorie de Yang-Mills.
001444697 655_0 $$aElectronic books.
001444697 77608 $$iPrint version: $$z3030944999$$z9783030944995$$w(OCoLC)1288193713
001444697 830_0 $$aLecture notes in mathematics (Springer-Verlag) ;$$vv. 2300.$$x1617-9692
001444697 852__ $$bebk
001444697 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-94500-8$$zOnline Access$$91397441.1
001444697 909CO $$ooai:library.usi.edu:1444697$$pGLOBAL_SET
001444697 980__ $$aBIB
001444697 980__ $$aEBOOK
001444697 982__ $$aEbook
001444697 983__ $$aOnline
001444697 994__ $$a92$$bISE