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

被引：20
|
作者：
Okounkov, A. [1 ]
Pandharipande, R. [1 ]
机构：
[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA
来源：
TRANSFORMATION GROUPS | 2010年 / 15卷 / 04期
关键词：
Hilbert Scheme; Monomial Ideal; Equivariant Cohomology; Laurent Polynomial; Quantum Cohomology;
D O I：
10.1007/s00031-010-9116-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：965 / 982
页数：18
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