Some computations of Donaldson-Thomas invariants -- Wei-Ping Li

I will talk about the joint works with Qin, S. Katz and Hu on computations of Donaldson-Thomas invariants. The first of these results studies the moduli space of ideal sheaves on a 3-fold admitting a smooth fibration over a surface with one free moving point and the one-dimensional component supported on fibers. We will discuss the change of the invariants under the blowup at a point, simple flops and extremal transitions. We will present the case of rank-two stable bundles.