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

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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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  1. Department of Mathematics, Princeton University, Princeton, NJ, 08544, USA

    A. Okounkov & R. Pandharipande

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  1. A. Okounkov
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  2. R. Pandharipande
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Correspondence to A. Okounkov.

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Dedicated to Vladimir Morozov on the 100th anniversary of his birth

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Okounkov, A., Pandharipande, R. The quantum differential equation of the Hilbert scheme of points in the plane. Transformation Groups 15, 965–982 (2010). https://doi.org/10.1007/s00031-010-9116-3

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  • DOI: https://doi.org/10.1007/s00031-010-9116-3

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