Spanning trees and Khovanov homology
Spanning trees and Khovanov homology
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生成树和霍瓦诺夫同调
DOI：
10.1090/s0002-9939-09-09729-9
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
I. Kofman
中科院分区：
文献类型：
--
作者：
Abhijit Champanerkar;I. Kofman
琼斯多项式可以用纽结图的棋盘着色图的生成树来表示。我们表明，存在一个复杂的生成这些生成树的同源性是减少Khovanov同源。生成树提供了一个过滤的减少Khovanov复杂和频谱序列，收敛到它的同源性。对于交替链接，生成树复形上的所有微分均为零，并且约化的Khovanov同调由Jones多项式和签名确定。我们证明了（未约）Khovanov同调的一些类似定理。
The Jones polynomial can be expressed in terms of spanning trees of the graph obtained by checkerboard coloring a knot diagram. We show that there exists a complex generated by these spanning trees whose homology is the reduced Khovanov homology. The spanning trees provide a filtration on the reduced Khovanov complex and a spectral sequence that converges to its homology. For alternating links, all differentials on the spanning tree complex are zero and the reduced Khovanov homology is determined by the Jones polynomial and signature. We prove some analogous theorems for (unreduced) Khovanov homology.
结补体的弗洛尔同源性
DOI：
--
发表时间：
2018
期刊：
影响因子：
--
作者：
白川美弥子;矢津剛;沖永美幸;藤春千恵美;佐伯由美;神山芳美;鎌田彩希;田口敦子;菅野雄介;深堀浩樹;宮下光令;Youngjin Bae;Youngjin Bae;Youngjin Bae;Yeongjin Bae (Youngjin Bae);Yeongjin Bae (Youngjin Bae)
通讯作者：
Yeongjin Bae (Youngjin Bae)