12 citations · 147 across the 45 of their papers we have counts for
8 papers · 1 filter
Poisson-de Rham homology of hypertoric varieties and nilpotent cones
Nicholas Proudfoot, Travis Schedler
We prove a conjecture of Etingof and the second author for hypertoric varieties, that the Poisson-de Rham homology of a unimodular hypertoric cone is isomorphic to the de Rham coho…
Invariants of Hamiltonian flow on locally complete intersections
Pavel Etingof, Travis Schedler
We consider the Hamiltonian flow on complex complete intersection surfaces with isolated singularities, equipped with the Jacobian Poisson structure. More generally we consider com…
On the (non)existence of symplectic resolutions for imprimitive symplectic reflection groups
Gwyn Bellamy, Travis Schedler
We study the existence of symplectic resolutions of quotient singularities V/G where V is a symplectic vector space and G acts symplectically. Namely, we classify the symplecticall…
A new linear quotient of C^4 admitting a symplectic resolution
Gwyn Bellamy, Travis Schedler
We show that the quotient C^4/G admits a symplectic resolution for G = (Q_8 x D_8)/(Z/2) < Sp(4,C). Here Q_8 is the quaternionic group of order eight and D_8 is the dihedral group…
Computational approaches to Poisson traces associated to finite subgroups of Sp(2n,C)
Pavel Etingof, Sherry Gong, Aldo Pacchiano +2
We reduce the computation of Poisson traces on quotients of symplectic vector spaces by finite subgroups of symplectic automorphisms to a finite one, by proving several results whi…
On the asymptotic S_n-structure of invariant differential operators on symplectic manifolds
Qingchun Ren, Travis Schedler
We consider the space of polydifferential operators on n functions on symplectic manifolds invariant under symplectic automorphisms, whose study was initiated by Mathieu in 1995. P…