タイトル : Wall-crossing formula for framed quiver moduli

アブストラクト : We study wall-crossing phenomena of moduli of framed quiver representations.
These spaces are expected to be very useful to capture representation theoretic nature of special functions for integrable systems.
Among these moduli spaces, we have type $A$ flag manifold, type $A$ affine Laumon spaces, Nakajima quiver variety, and framed moduli of sheaves on blow-ups.
In particular, we study wall-crossing formulas for integrals of the Euler classes of weighted sums of tautological bundles and tangent bundles of these moduli spaces.