Periodic Monopoles and Difference Modules

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Focusing on periodic monopoles of generalized Cherkis-Kapustin (GCK) type, this book provides a classification based on difference modules with parabolic structure. It establishes a Kobayashi-Hitchin correspondence that links differential geometric objects with algebraic structures. Additionally, the text explores the asymptotic behavior of these monopoles at infinity, offering insights into their mathematical properties and interactions within the broader context of geometry and algebra.