MSRI 2nd Floor Seminar Room
March 9, 2006 02:00 PM to 04:15 PM
Speaker: Hiraku Nakajima (MSRI and Kyoto University)
Abstract : (based on joint work with L.Goettsche and K.Yoshioka)
Nekrasov introduced a certain partition function, which can be regarded as the generating function of Donaldson invariants of $\mathbf R^4$ with the torus action. He conjectured that its leading coefficient is equal to the so-called Seiberg-Witten prepotential, which is defined via periods of elliptic curves. I will explain its solution and the relation to ordinary Donaldson invariants of 4-manifolds, especially to the wall-crossing formula. If time allows, I will also explain Donaldson invariants for $\mathbf CP^2$.
