An unoriented skein exact triangle for knot Floer homology
An unoriented skein exact triangle for knot Floer homology
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结弗洛尔同源的无向绞纱精确三角形
DOI：
10.4310/mrl.2007.v14.n5.a11
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发表时间：
2006
影响因子：
1
通讯作者：
Ciprian Manolescu
中科院分区：
文献类型：
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作者：
Ciprian Manolescu
给出了三球内连杆的平面图中的一个交点，证明了该连环的纽结Floer同调及其在该交点处的两个解析度由一个正三角形联系在一起。由此，我们推导出对任一拟交错环，其纽结Floer同调的总秩均等于该环的行列式。
Given a crossing in a planar diagram of a link in the three-sphere, we show that the knot Floer homologies of the link and its two resolutions at that crossing are related by an exact triangle. As a consequence, we deduce that for any quasi-alternating link, the total rank of its knot Floer homology is equal to the determinant of the link.