Instanton counting and Donaldson invariants


Hiraku Nakajima

Kyoto University

Harvard University

Thursday, March 16, 2006


Talk at 4:30 p.m. in Science Center D

Tea at 4:00 p.m. in the Math Lounge


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 R4 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.


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Posted: February 22, 2006    URL: