Quantum cohomology of the Hilbert scheme of points in the plane

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We determine the ring structure of the equivariant quantum cohomology of the Hilbert scheme of points in the complex plane. The operator of quantum multiplication by the divisor class is a nonstationary deformation of the quantum Calogero-Sutherland many-body system. A relationship between the quantum cohomology of the Hilbert scheme and the Gromov-Witten/Donaldson-Thomas correspondence for local curves is proven.
Revised version. Results related to Jack symmetric functions moved to an upcoming paper

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Algebraic Geometry, Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/158805

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411210
 http://arxiv.org/abs/math/0411210

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arXiv