Symplectic resolution conjecture for coverings of nilpotent orbit closures
Symplectic resolution conjecture for coverings of nilpotent orbit closures
Let be a covering of a nilpotent orbit in a simple Lie algebra such that . Suppose that is a symplectic resolution. Let and let be the simply connected Lie group with Lie algebra . The symplectic resolution conjecture. There exists a parabolic subgroup of such that is isomorphic to , and under this isomorphism the map becomes
The conjecture predicts that every symplectic resolution in the case is a cotangent-bundle resolution associated with a parabolic subgroup of . The supplied status evidence indicates that the claim has been resolved; the source context discusses the classification of symplectic resolutions for coverings of nilpotent orbit closures.
Sources & referencesView supporting material
Primary source
Baohua Fu, “Symplectic Resolutions for Coverings of Nilpotent Orbits”, arXiv:math/0212024 (2002).
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