State cycles which represent the canonical class of Lee's homology of a knot
State cycles which represent the canonical class of Lee's homology of a knot
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代表李氏结同调规范类的状态循环
DOI：
10.1016/j.topol.2011.11.042
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发表时间：
2012
影响因子：
0.6
通讯作者：
T.Abe
中科院分区：
文献类型：
--
作者：
Y. Yoshida;D. SerrateP. Ferriani;A. Kubetzka;S.-W. Hla;M. Menzel,K. von Bergmann;S. Heinze;R. Wiesendanger;T.Abe
对于一个纽结的图，李将一个复杂的东西联系起来，称为李氏复杂。我们引入了李氏复合体的状态循环的概念，这是李氏复合体的一个确定循环。我们描述的状态循环，代表典型的类李的同源性的一个结。作为推论，我们从李复形的圈的角度给出了纽结的Rasmussen不变量的Shaper Slice-Bennequin不等式.
For a diagram of a knot, Lee associated a complex which is called Leeʼs complex. We introduce the notion of a state cycle of Leeʼs complex, which is a certain cycle of Leeʼs complex. We describe state cycles which represent the canonical class of Leeʼs homology of a knot. As a corollary, we give the shaper slice-Bennequin inequality for the Rasmussen invariant of a knot in the viewpoint of cycles of Leeʼs complex.