Relative Gromov-Witten invariants

被引：121
作者：
Ionel, EN [1 ]
Parker, TH
机构：
[1] Univ Wisconsin, Madison, WI USA
[2] Michigan State Univ, E Lansing, MI 48824 USA
来源：
ANNALS OF MATHEMATICS | 2003年 / 157卷 / 01期
关键词：
D O I：
10.4007/annals.2003.157.45
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define relative Gromov-Witten invariants of a symplectic manifold relative to a codimension-two symplectic submanifold. These invariants are the key ingredients in the symplectic sum formula of [IP4]. The main step is the construction of a compact space of 'V-stable' maps. Simple special cases include the Hurwitz numbers for algebraic curves and the enumerative invariants of Caporaso and Harris.
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页码：45 / 96
页数：52
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