9 citations · 24 across the 8 of their papers we have counts for
8 papers
Notes on the vector adelic Grassmannian
George Wilson
These are notes about the connection between the Gibbons-Hermsen system and the multi-component KP hierarchy: they were intended as a first sketch of a paper on that subject, but s…
Picard groups of differential operators on curves
George Wilson
Let X be a complex affine curve (not isomorphic to the affine line), and let Pic(D) be the group of autoequivalences of the category of D(X)-modules. Cannings and Holland have show…
Equivariant maps between Calogero-Moser spaces
George Wilson
This is a footnote to earlier joint work with Yu. Berest, which constructed a bijection between the space of ideal classes of the Weyl algebra and a union of Calogero-Moser varieti…
Differential operators on an affine curve: ideal classes and Picard groups
Yuri Berest, George Wilson
Let X be a smooth complex affine curve, and let R be the space of right ideal classes in the ring D of differential operators on X. We introduce and study a fibration γ: R \to Pic(…
Mad Subalgebras of Rings of Differential Operators on Curves
Yuri Berest, George Wilson
We study the maximal abelian ad-nilpotent (mad) subalgebras of the domains D Morita equivalent to the first Weyl algebra. We give a complete description both of the individual mad…
Differential Isomorphism and Equivalence of Algebraic Varieties
Yuri Berest, George Wilson
In this survey article we discuss the question: to what extent is an algebraic variety determined by its ring of differential operators? In the case of affine curves, this question…