Quantum cohomology of the Hilbert scheme of points in the plane

被引：0
|
作者：
A. Okounkov
R. Pandharipande
机构：
[1] Princeton University,Department of Mathematics
来源：
Inventiones mathematicae | 2010年 / 179卷
关键词：
Modulus Space; Hilbert Scheme; Equivariant Cohomology; Quantum Cohomology; Quantum Ring;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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 proven.
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页码：523 / 557
页数：34
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