The quantum differential equation of the Hilbert scheme of points in the plane

Details The quantum differential equation of the Hilbert scheme of points in the plane The quantum differential equation of the Hilbert scheme of points in the plane

2009-06-19

arxiv.org/abs/0906.3587v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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