The quantum differential equation of the Hilbert scheme of points in the plane |
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| Authors: | A. Okounkov R. Pandharipande |
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| Affiliation: | (1) Korea Institute for Advanced Study (KIAS), 207-43 Cheongnyangni 2-dong, Dongdaemun-gu, Seoul, 130-722, South Korea |
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| Abstract: | 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. |
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