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An Introduction to Higgs Bundles via Harmonic Maps

· 2018 · math.AG · arXiv 1809.05747

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abstract

This survey studies equivariant harmonic maps arising from Higgs bundles. We explain the non-abelian Hodge correspondence and focus on the role of equivariant harmonic maps in the correspondence. With the preparation, we review current progress towards some open problems in the study of equivariant harmonic maps.

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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 41 · 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.