HF=HM, IV : The Seiberg–Witten Floer homology and ech correspondence
HF=HM, IV : The Seiberg–Witten Floer
homology and ech correspondence
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HF=HM, IV : Seiberg-Witten Floer
DOI：
10.2140/gt.2020.24.3219
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发表时间：
2011
影响因子：
2
通讯作者：
C. Taubes
中科院分区：
文献类型：
--
作者：
Çağatay Kutluhan;Yi;C. Taubes
这是第四个五个文件，建设同构之间的塞伯格，威滕弗洛尔同源性和Heegaard弗洛尔同源性的一个给定的紧凑，面向3-流形。同构被给出为三个同构的合成;其中第一个将辅助流形上的嵌入接触同调的一个版本与原始流形上的Heegaard Floer同调联系起来。第二个同构将辅助流形上的嵌入接触同调的相关版本与同一流形上的Seiberg-Witten Floer同调的版本联系起来。第三个同构将辅助流形上的Seiberg-Witten Floer同调与原始流形上的Seiberg-Witten Floer同调的适当版本联系起来。本文介绍了这些同构的第二个。
This is the fourth of five papers that construct an isomorphism between the Seiberg-Witten Floer homology and the Heegaard Floer homology of a given compact, oriented 3-manifold. The isomorphism is given as a composition of three isomorphisms; the first of these relates a version of embedded contact homology on an an auxillary manifold to the Heegaard Floer homology on the original. The second isomorphism relates the relevant version of the embedded contact homology on the auxilliary manifold with a version of the Seiberg-Witten Floer homology on this same manifold. The third isomorphism relates the Seiberg-Witten Floer homology on the auxilliary manifold with the appropriate version of Seiberg-Witten Floer homology on the original manifold. The paper describes the second of these isomorphisms.