Equivariant K-theory of Gieseker spaces is identified with the Jucys-Murphy center of the cyclotomic Hecke 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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K-theory of Gieseker variety and type A cyclotomic Hecke algebra
Equivariant K-theory of Gieseker spaces is identified with the Jucys-Murphy center of the cyclotomic Hecke 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.