Symplectic quasi-states and semi-simplicity of quantum homology
Symplectic quasi-states and semi-simplicity of quantum homology
复制标题
量子同调的辛准态和半简性
DOI：
10.1090/conm/460/09010
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
L. Polterovich
中科院分区：
文献类型：
--
作者：
Michael Entov;L. Polterovich
我们回顾和简化了Y.Ostrover关于具有半单量子同调的辛流形上的Calabi拟态射和辛拟态的存在性的结果。作为说明，我们讨论了辛环Fano 4-流形的情况。我们还给出了D.McDuff的新结果：她观察到，对于拟态射/拟态的存在，假设量子同调包含场作为直接被和就足够了，并且她证明了这一较弱的条件对于非uniruled辛流形的一点爆破是成立的。
We review and streamline our previous results and the results of Y.Ostrover on the existence of Calabi quasi-morphisms and symplectic quasi-states on symplectic manifolds with semi-simple quantum homology. As an illustration, we discuss the case of symplectic toric Fano 4-manifolds. We present also new results due to D.McDuff: she observed that for the existence of quasi-morphisms/quasi-states it suffices to assume that the quantum homology contains a field as a direct summand, and she showed that this weaker condition holds true for one point blow-ups of non-uniruled symplectic manifolds.
影响因子：
2.5
作者：
Y. Oh
通讯作者：
Y. Oh