arxivmath (![[info]](http://l-stat.livejournal.com/img/userinfo.gif){kind=small} arxivmath) wrote,@ 2009-06-23 06:41:00 |
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The quantum differential equation of the Hilbert scheme of points in the plane. (arXiv:0906.3587v1 [
The quantum differential equation of the Hilbert scheme of points in the plane. (arXiv:0906.3587v1 [math.AG])
read more at math updates on arXiv.org
The quantum differential equation of the Hilbert scheme of points in the plane. (arXiv:0906.3587v1 [math.AG])
Authors: Andrei Okounkov, Rahul Pandharipande
We discuss here basic properties of the quantum differential equation of the Hilbert scheme of points in the plane. Our emphasis is on intertwining operators (which shift equivariant parameters) and their applications. In particular, we obtain an exact solution to the connection problem from the Donaldson-Thomas point q=0 to the Gromov-Witten point q=-1. The paper is an expanded version of what was once the last Section of arXiv:math/0411210.
read more at math updates on arXiv.org
