Some differentials on Khovanov–Rozansky homology
Some differentials on Khovanov–Rozansky homology
复制标题
Khovanov-Rozansky 同调的一些微分
DOI：
10.2140/gt.2015.19.3031
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发表时间：
2006
影响因子：
2
通讯作者：
J. Rasmussen
中科院分区：
文献类型：
--
作者：
J. Rasmussen
在[12;[13]， Khovanov和Rozansky引入了一类新的同调结不变量，推广了Khovanov同调[9]的原始构造。在本文中，我们研究了这些kr -同源及其之间的关系。我们的动机是为Dunfield、Gukov和Rasmussen等人提出的关于这些理论的行为及其与结花同源性的关系的猜想提供一些实质内容。对于后一个问题，我们虽然不能说什么，但我们希望至少能对KR-homology的结构有所启示。
In [12; 13], Khovanov and Rozansky introduced a new class of homological knot invariants which generalize the original construction of the Khovanov homology [9]. In this paper, we investigate these KR–homologies and the relations between them. Our motivation was to give some substance to the conjectures made in Dunfield, Gukov and Rasmussen [3] about the behavior of these theories and their relation to the knot Floer homology. Although we are unable to say anything about the latter problem, we hope that we can at least shed some light on the structure of KR–homology.