Poisson Traces for Symmetric Powers of Symplectic Varieties
Poisson Traces for Symmetric Powers of Symplectic Varieties
We compute the space of Poisson traces on symmetric powers of affine symplectic varieties. In the case of symplectic vector spaces, we also consider the quotient by the diagonal translation action, which includes the quotient singularities associated with the type A Weyl group Sn and its reflection representation . We …