Annular Khovanov-Lee homology, braids, and cobordisms
Annular Khovanov-Lee homology, braids, and cobordisms
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环形 Khovanov-Lee 同调、辫子和配边
DOI：
10.4310/pamq.2017.v13.n3.a2
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
S. Wehrli
中科院分区：
文献类型：
--
作者：
J. E. Grigsby;Anthony M. Licata;S. Wehrli
利用Livingston重新解释的Ozsvath-Stipsicz-Szabo的思想，利用Livingston重新解释的Ozsvath-Stipsicz-Szabo的思想，我们定义了一族环状Rasmussen不变量.针对环形环作为辫子闭包的特殊情况，利用环形Rasmussen不变量的性质，得到了辫子拟正的一个必要条件和右倾的一个充分条件。
We prove that the Khovanov-Lee complex of an oriented link, L, in a thickened annulus, A x I, has the structure of a bifiltered complex whose filtered chain homotopy type is an invariant of the isotopy class of L in A x I. Using ideas of Ozsvath-Stipsicz-Szabo as reinterpreted by Livingston, we use this structure to define a family of annular Rasmussen invariants that yield information about annular and non-annular cobordisms. Focusing on the special case of annular links obtained as braid closures, we use the behavior of the annular Rasmussen invariants to obtain a necessary condition for braid quasipositivity and a sufficient condition for right-veeringness.