For the standard representation of Sp_{2n}(C), the Gaiotto locus is the Bialynicki-Birula closure associated to U(Sp_{2n-2}(C)) inside the nilpotent cone, and its intersection with the stable cotangent chart is the closure of the conormal bundle to the one-spinor stratum of the generalized theta-div
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4 Pith papers cite this work. Polarity classification is still indexing.
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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.
Constructs a flat degeneration of the Higgs bundle moduli stack on curves with intrinsic log-symplectic form, flat Hitchin map with complete fibers, and Lagrangian nilpotent cone locus, extended over stable curves.
Extends classification of rank-2 co-Higgs bundles on Hopf surfaces to construct Poisson 3-folds and describe their symplectic leaves.
citing papers explorer
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Gaiotto Loci and the Nilpotent Cone for $\mathrm{Sp}_{2n}(\mathbb C)$
For the standard representation of Sp_{2n}(C), the Gaiotto locus is the Bialynicki-Birula closure associated to U(Sp_{2n-2}(C)) inside the nilpotent cone, and its intersection with the stable cotangent chart is the closure of the conormal bundle to the one-spinor stratum of the generalized theta-div
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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.
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Moduli stacks of Higgs bundles on stable curves
Constructs a flat degeneration of the Higgs bundle moduli stack on curves with intrinsic log-symplectic form, flat Hitchin map with complete fibers, and Lagrangian nilpotent cone locus, extended over stable curves.
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Poisson three-folds constructed from co-Higgs bundles on Hopf surfaces
Extends classification of rank-2 co-Higgs bundles on Hopf surfaces to construct Poisson 3-folds and describe their symplectic leaves.