Infinitesimal rigidity is established for irreducible cyclic surfaces and n-alternating surfaces in H^{p,q}, unifying prior results on maximal space-like surfaces, alternating holomorphic curves, and A-surfaces.
Pure Appl
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A bijection is established between cyclic Higgs bundles on a curve and sheaves on a noncommutative surface constructed from the cyclic quiver path algebra.
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.
citing papers explorer
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Infinitesimal Rigidity of Cyclic Surfaces and Alternating Surfaces
Infinitesimal rigidity is established for irreducible cyclic surfaces and n-alternating surfaces in H^{p,q}, unifying prior results on maximal space-like surfaces, alternating holomorphic curves, and A-surfaces.
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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.