# “Reductive Groups and Hilbert Schemes” - Reference

Bezrukavnikov and Ginzburg have unpublished notes, 'Hilbert Schemes and Reductive Groups' (referenced here, for example): does anyone know what became of these notes? Did Bezrukavnikov-Ginzburg publish anything based on these notes? I am interested in finding them as it is claimed (in the reference linked to above) that Bezrukavnikov-Ginzburg obtain an isomorphism between equivariant K-theory of $X^{n}$ ($X$ a quasi-projective smooth surface) and cohomology of $X^{[n]}$ (Hilbert scheme of $n$ points on $X$); this should(?) allow an interpretation of the Nakajima-Grojnowski construction of the Heisenberg algebra via equivariant K-theory.