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Periodic monopoles and difference modules

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arxiv 1712.08981 v4 pith:SWOL2R6A submitted 2017-12-25 math.DG math-phmath.AGmath.MP

classification math.DGmath-phmath.AGmath.MP
keywords monopolesperiodictypedifferencemodulesobjectsalgebraicaround
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We study periodic monopoles satisfying some mild conditions, called of GCK type. Particularly, we give a classification of periodic monopoles of GCK type in terms of difference modules with parabolic structure, which is a kind of Kobayashi-Hitchin correspondence between differential geometric objects and algebraic objects. We also clarify the asymptotic behaviour of periodic monopoles of GCK type around infinity.

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  1. Non-Abelian Hodge Theory and Related Topics

    math.AG 2019-08 conditional novelty 4.0 of 10

    A survey of non-Abelian Hodge theory and related moduli spaces, with a new explicit description of Simpson filtrations for rank 3 flat bundles.

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