A bijection is established between cyclic Higgs bundles on a curve and sheaves on a noncommutative surface constructed from the cyclic quiver path algebra.
Involutio ns and higher order automorphisms of Higgs bundle moduli spaces
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Describes involutions on spectra of minuscule Kirillov algebras from real structures, models fixed points via real equivariant cohomology, characterizes freeness, and recovers Stembridge's q=-1 phenomenon geometrically.
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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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On involutions of minuscule Kirillov algebras induced by real structures
Describes involutions on spectra of minuscule Kirillov algebras from real structures, models fixed points via real equivariant cohomology, characterizes freeness, and recovers Stembridge's q=-1 phenomenon geometrically.