AN UNORIENTED SKEIN EXACT TRIANGLE FOR KNOT
AN UNORIENTED SKEIN EXACT TRIANGLE FOR KNOT
复制标题
结的无向绞纱精确三角形
DOI：
10.2140/gt.2020.24.2855
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发表时间：
2007
影响因子：
2
通讯作者：
Ciprian Manolescu
中科院分区：
文献类型：
--
作者：
Floer Homology;Ciprian Manolescu;Ciprian Manolescu
给定三球体中链接的平面图中的交叉点，我们表明该链接的结弗洛尔同调性及其在该交叉点处的两个分辨率通过精确的三角形相关。因此，我们推断对于任何准交替链接，其结Floer同源性的总秩等于该链接的行列式。
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.