Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry
Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry
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实数几何中实辛4流形的不变量和下界
DOI：
10.1007/s00222-005-0445-0
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发表时间：
2003
影响因子：
3.1
通讯作者：
Jean
中科院分区：
文献类型：
--
作者：
Jean
首先在给定的真实的辛4-流形上建立了真实的有理伪全纯曲线的模空间。然后，我们按照Gromov和维滕[3，19，11]的方法，定义了真实的辛4-流形在变形下的不变量。这些不变量提供了实现给定同调类并通过给定真实的点配置的真实的RationalJ-全纯曲线的数目的下界。
We first build the moduli spaces of real rational pseudo-holomorphic curves in a given real symplectic 4-manifold. Then, following the approach of Gromov and Witten [3, 19, 11], we define invariants under deformation of real symplectic 4-manifolds. These invariants provide lower bounds for the number of real rationalJ-holomorphic curves which realize a given homology class and pass through a given real configuration of points.