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We discuss here basic properties of the quantum differential equation of the Hilbert scheme of points in the plane.
N. Levinson, The asymptotic nature of solutions of linear systems of differential equations , Duke Math. J., 15
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M. S. P. Eastham, The Asymptotic Solution of Linear Differential Systems. Applications of the Levinson Theorem. , Clarendon Press, Oxford, 1989
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R. Stanley, Some combinatorial properties of Jack symmetric functions , Adv. Math. 77
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I. Macdonald, Symmetric functions and Hall polynomials , The Clarendon Press, Oxford University Press, New York, 1995
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E. Vasserot, Sur l’anneau de cohomologie du sch?ma de Hilbert de 𝐂 2 \mathbf{C}^{2} , C. R. Acad. Sci. Paris Sér. I Math. 332
2001
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R. Bezrukavnikov and A. Okounkov, Monodromy of the QDE for the Hilbert scheme , in preparation
Cited in the paper.
J. Bryan and R. Pandharipande, The local Gromov-Witten theory of curves , math.AG/0411037
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Cited in the paper.
D. Maulik, N. Nekrasov, A. Okounkov, and R. Pandharipande, Gromov-Witten theory and Donaldson-Thomas theory I and II
Cited in the paper.
Cited in the paper.
A. Okounkov and R. Pandharipande, Quantum cohomology of the Hilbert scheme of points in the plane , arXiv:math/0411210
Cited in the paper.
A. Okounkov and R. Pandharipande, The local Donaldson-Thomas theory of curves , arXiv:math/0512573
Cited in the paper.
M. Haiman, Combinatorics, symmetric functions and Hilbert schemes , Current Developments in Mathematics, no. 1 (2002), 39-111
2002
Later among the works it cites.
W.-P. Li, Z. Qin, W. Wang, The cohomology rings of Hilbert schemes via Jack polynomials , CRM Proceedings and Lecture Notes, vol. 38 (2004), 249–258
2004
Later among the works it cites.
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