Anders Skovsted Buch
Published 2001-04-02Version 1
We prove a formula for the structure sheaf of a quiver variety in the Grothendieck ring of its embedding variety. This formula generalizes and gives new expressions for Grothendieck polynomials. We furthermore conjecture that the coefficients in our formula have signs which alternate with degree. The proof of our formula involves $K$-theoretic generalizations of several useful cohomological tools, including the Thom-Porteous formula, the Jacobi-Trudi formula, and a Gysin formula of Pragacz.
Grothendieck classes of quiver cycles as iterated residues
On generalized category $\mathcal{O}$ for a quiver variety
Singularities of moduli spaces of sheaves on K3 surfaces and Nakajima quiver varieties
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