The local Donaldson-Thomas theory of curves

被引:28
|
作者
Okounkov, A. [1 ]
Pandharipande, R. [1 ]
机构
[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA
来源
GEOMETRY & TOPOLOGY | 2010年 / 14卷 / 03期
基金
美国国家科学基金会;
关键词
GROMOV-WITTEN THEORY; CALABI-YAU; 3-FOLDS; HILBERT SCHEMES; COHOMOLOGY RING; FIELD-THEORY; INVARIANTS; POINTS; SURFACES; GEOMETRY;
D O I
10.2140/gt.2010.14.1503
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The local Donaldson-Thomas theory of curves is solved by localization and degeneration methods. The results complete a triangle of equivalences relating Gromov-Witten theory, Donaldson-Thomas theory, and the quantum cohomology of the Hilbert scheme of points of the plane.
引用
收藏
页码:1503 / 1567
页数:65
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