A symplectic resolution of a symplectic singularity 
is a resolution
of singularities 
for which the symplectic
form on the smooth locus extends to a nondegenerate
holomorphic two-form on all of 
. The resolved variety is therefore a holomorphic symplectic
manifold. Nondegeneracy is an additional condition beyond extension of the form
(Fu 2006). The cohomological Hikita conjecture
uses the cohomology of such a resolution.
Symplectic Resolution
See also
Hikita Conjecture, Nakajima Quiver Variety, Resolution of Singularities, Symplectic Manifold, Symplectic SingularityExplore with Wolfram|Alpha
References
Fu, B. "A Survey on Symplectic Singularities and Symplectic Resolutions." Ann. Math. Blaise Pascal 13, 209-236, 2006. https://doi.org/10.5802/ambp.218.Cite this as:
Weisstein, Eric W. "Symplectic Resolution." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SymplecticResolution.html