Proof of the Arnold chord conjecture in three dimensions I
Proof of the Arnold chord conjecture in three dimensions I
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三维阿诺德和弦猜想的证明 I
DOI：
10.4310/mrl.2011.v18.n2.a8
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发表时间：
2011
影响因子：
1
通讯作者：
C. Taubes
中科院分区：
文献类型：
--
作者：
M. Hutchings;C. Taubes
在“三维Arnold弦猜想的证明，I”一文[12]中，我们从另一个结果推出了三维Arnold弦猜想，该猜想断言接触三维流形之间的精确辛余边诱导出满足某些公理的(滤除的)嵌入接触同调上的映射。本文证明了后一结果，从而完成了三维弦猜想的证明。我们还证明了滤子嵌入接触同调不依赖于用于定义它的几乎复杂结构的选择。53D40、57R58
In “Proof of the Arnold chord conjecture in three dimensions, I” [12], we deduced the Arnold chord conjecture in three dimensions from another result, which asserts that an exact symplectic cobordism between contact three-manifolds induces a map on (filtered) embedded contact homology satisfying certain axioms. The present paper proves the latter result, thus completing the proof of the three-dimensional chord conjecture. We also prove that filtered embedded contact homology does not depend on the choice of almost complex structure used to define it. 53D40, 57R58