Grothendieck classes of quiver varieties

摘要: We prove a formula for the structure sheaf of quiver variety in Grothendieck ring its embedding variety. This generalizes and gives new expressions polynomials. furthermore conjecture that coefficients our have signs which alternate with degree. The proof involves $K$-theoretic generalizations several useful cohomological tools, including Thom-Porteous formula, Jacobi-Trudi Gysin Pragacz.