Khovanov homotopy type, Burnside category and products
Khovanov homotopy type, Burnside category and products
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Khovanov 同伦型、Burnside 类别和乘积
DOI：
10.2140/gt.2020.24.623
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发表时间：
2015
影响因子：
2
通讯作者：
Sucharit Sarkar
中科院分区：
文献类型：
--
作者：
T. Lawson;Robert Lipshitz;Sucharit Sarkar
本文给出了Khovanov同伦型的一个新的构造。我们表明，这种结构给出了一个空间稳定同伦等价于Khovanov同伦类型在[LS 14 a]和[HKK]，并作为推论，这两个结构给出了等价的空间。我们证明了该构造在不相交联合、连通和和镜像方面表现良好，验证了[LS 14 a]中的几个假设。最后，将这些结果与文献[LS 14 c]的计算和文献[LS 14 b]的改进的s-不变量相结合，得到了关于某些纽结的切片生成的新结果.
In this paper, we give a new construction of a Khovanov homotopy type. We show that this construction gives a space stably homotopy equivalent to the Khovanov homotopy types constructed in [LS14a] and [HKK] and, as a corollary, that those two constructions give equivalent spaces. We show that the construction behaves well with respect to disjoint unions, connected sums and mirrors, verifying several conjectures from [LS14a]. Finally, combining these results with computations from [LS14c] and the refined s-invariant from [LS14b] we obtain new results about the slice genera of certain knots.
Floer 上同调的 Khovanov 同调
影响因子：
3.9
作者：
Abouzaid M
通讯作者：
Abouzaid M