A bijection is established between cyclic Higgs bundles on a curve and sheaves on a noncommutative surface constructed from the cyclic quiver path algebra.
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Moduli spaces of ξ⃗-parabolic Higgs bundles realize partial compactifications of the restricted Hitchin map on symplectic leaves of meromorphic Higgs bundle moduli spaces and provide symplectic resolutions of their normalizations.
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Spectral correspondence for cyclic Higgs bundles
A bijection is established between cyclic Higgs bundles on a curve and sheaves on a noncommutative surface constructed from the cyclic quiver path algebra.
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Symplectic leaves of meromorphic Hitchin systems
Moduli spaces of ξ⃗-parabolic Higgs bundles realize partial compactifications of the restricted Hitchin map on symplectic leaves of meromorphic Higgs bundle moduli spaces and provide symplectic resolutions of their normalizations.