Embedded contact homology and Seiberg–Witten Floer cohomology II

Embedded contact homology and Seiberg–Witten Floer cohomology II
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嵌入式接触同调和 Seiberg–Witten Floer 上同调 II

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发表时间:
2008
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通讯作者:
C. Taubes
C. Taubes
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作者:
C. Taubes

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本文是作者先前四篇论文的续作,在给定接触1‐形的紧3‐流形的内嵌接触同构与Seiberg‐Witten Floer上同构之间建立了一个同构。这些各自的同调/上同调理论带有额外的结构;本文的续篇证明了前四篇论文所构建的同构与这个额外的结构是相容的。
This is a sequel to four earlier papers by the author that construct an isomorphism between the embedded contact homology and Seiberg‐Witten Floer cohomology of a compact 3‐manifold with a given contact 1‐form. These respective homology/cohomology theories carry additional structure; this sequel proves that the isomorphism that is constructed in the first four papers is compatible with this extra structure.