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Triply Periodic Monopoles and Difference Modules on Elliptic Curves

· 2019 · math.DG · arXiv 1903.03264

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abstract

We explain the correspondences between twisted monopoles with Dirac type singularity and polystable twisted mini-holomorphic bundles with Dirac type singularity on a 3-dimensional torus. We also explain that they are equivalent to polystable parabolic twisted difference modules on elliptic curves.

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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 49 · 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.