IMMERSED SPHERES IN 4-MANIFOLDS AND THE IMMERSED THOM CONJECTURE
IMMERSED SPHERES IN 4-MANIFOLDS AND THE IMMERSED THOM CONJECTURE
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发表时间：
1995
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影响因子：
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通讯作者：
R. Fintushel;R. Stern
中科院分区：
文献类型：
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作者：
R. Fintushel;R. Stern
Seiberg - Witten单极子方程（[SW1],[SW2],[W]）的引入使得光滑4流形的研究更加容易。以前关于光滑4流形的Donaldson不变量的许多重要定理在SeibergWitten理论中有更容易证明的类似物[J]。此外，新的基本结果迅速出现，最引人注目的是Thom猜想的证明[KM]，辛流形的Seiberg-Witten不变量的非平凡性的验证[T1]，以及C. Taubes的结果，该结果将Seiberg-Witten不变量与伪全纯曲线理论和辛流形的某些Gromov不变量联系起来（[T2],[T3]）。
The introduction of the Seiberg Witten monopole equations ([SW1],[SW2],[W]) has served to make the study of smooth 4-manifolds more accessible. Many of the important earlier theorems regarding Donaldson invariants of smooth 4-manifolds have more easily proven analogues in SeibergWitten theory [J]. Further, new fundamental results have quickly appeared, most notably the proof of the Thom conjecture [KM], the verification of the nontriviality of the Seiberg-Witten invariants for symplectic manifolds [T1], and the results of C. Taubes which relate Seiberg-Witten invariants with the theory of pseudo-holomorphic curves and certain Gromov invariants for symplectic manifolds ([T2],[T3]).