Floer Homology and Gromov-Witten Invariant over Integer of General Symplectic Manifolds – Summary –

Floer Homology and Gromov-Witten Invariant over Integer of General Symplectic Manifolds – Summary –
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一般辛流形整数上的 Floer 同调和 Gromov-Witten 不变量 – 摘要 –

DOI:
10.2969/aspm/03110075
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发表时间:
2001
期刊:
--
影响因子:
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通讯作者:
K. Ôno
K. Ôno
中科院分区:
--
文献类型:
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作者:
K. Fukaya;K. Ôno

文献摘要

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本文对文献[FO 2]中关于周期Hamilton系统周期轨数的Arnold猜想作了改进。在[FO 2]中,我们给出了Betti数的估计。在这篇文章中,我们包括扭转系数。我们还定义了一个“整数部分”的Gromov-Witten不变量。§
In this article we give a summary of an improvement our earier result [FO2] on Arnold’s conjecture about the number of periodic orbits of periodic Hamiltonian system. In [FO2], we gave an estimate in terms of Betti numbers. In this article, we include torsion coefficients. We also define an “integer part” of the Gromov-Witten invariant. §