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On the Equivalence of Multiplicative Structures in Floer Homology and Quantum Homology
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作者 Gang LiuDepartment of Mathematics,UCLA,Los Angeles,CA 90095 USAGang TianDepartment of Mathematics,MIT,Cambridge,MA 02139,USA 《Acta Mathematica Sinica,English Series》 SCIE CSCD 1999年第1期53-80,共28页
In this paper,we will prove that Floer homology equipped with either the intrinsic or exterior product is isomorphic to quantum homology as a ring.We will also prove that GW-invariants in Floer homology and quantum ho... In this paper,we will prove that Floer homology equipped with either the intrinsic or exterior product is isomorphic to quantum homology as a ring.We will also prove that GW-invariants in Floer homology and quantum homology are equivalent. 展开更多
关键词 Floer homology Quantum homology GW-invariants j-holomorphic curves Moduli space
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关于Weinstein猜测的综述
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作者 丁岩峭 《数学进展》 CSCD 北大核心 2018年第1期1-10,共10页
Weinstein猜测断言辛流形的紧致切触超曲面上至少有一个周期轨道,这一猜测是辛拓扑和切触拓扑中重要的研究方向.根据方法的不同,本文综述利用变分法和伪全纯曲线方法对Weinstein猜测进行的研究.
关键词 Weinstein猜测 周期轨道 切触流形 j-全纯曲线 Reeb流
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