N ov 2 00 4 Quantum cohomology of the Hilbert scheme of points in the plane
نویسنده
چکیده
We determine the ring structure of the equivariant quantum cohomology of the Hilbert scheme of points of C2. The operator of quantum multiplication by the divisor class is a nonstationary deformation of the quantum Calogero-Sutherland many-body system. Several results and conjectures on the corresponding deformation of Jack symmetric functions are presented. A relationship between the quantum cohomology of the Hilbert scheme and the Gromov-Witten/DonaldsonThomas correspondence for local curves is proven.
منابع مشابه
2 00 8 Quantum cohomology of the Hilbert scheme of points in the plane
We determine the ring structure of the equivariant quantum cohomology of the Hilbert scheme of points of C2. 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 pr...
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تاریخ انتشار 2004