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Periodic monopoles and difference modules

· 2017 · math.DG · arXiv 1712.08981

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abstract

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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math.AG 1

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2019 1

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CONDITIONAL 1

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Non-Abelian Hodge Theory and Related Topics

math.AG · 2019-08-22 · conditional · novelty 4.0

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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  • Non-Abelian Hodge Theory and Related Topics math.AG · 2019-08-22 · conditional · none · ref 47 · internal anchor

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