接合和胶合缝合的弗洛尔同调
Joining and gluing sutured Floer homology
摘要：
利用缝合弗洛尔同调给出了加边弗洛尔同调的一个部分刻画.加边代数和模是某些缝合Floer复形的直和。代数乘和代数作用对应于SFH上的一个新的胶合映射。它是代数定义的，并且是更一般的“连接”映射的特殊情况。在后续论文中，我们表明这种粘合图可以与Honda-Kazez-Matic的接触配边图相识别。连接映射在语义上等价于Juhasz定义的SFH上的配边映射。
英文摘要：
We give a partial characterization of bordered Floer homology in terms of sutured Floer homology. The bordered algebra and modules are direct sums of certain sutured Floer complexes. The algebra multiplication and algebra action correspond to a new gluing map on SFH. It is defined algebraically, and is a special case of a more general "join" map. In a follow-up paper we show that this gluing map can be identified with the contact cobordism map of Honda-Kazez-Matic. The join map is conjecturally equivalent to the cobordism maps on SFH defined by Juhasz.
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