BV-structures on the homology of the framed long knot space
BV-structures on the homology of the framed long knot space
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框架长结空间同调性的BV结构
DOI：
10.1007/s40062-015-0111-1
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
Keiichi Sakai
中科院分区：
文献类型：
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作者：
Tobias Ekholm;Ko Honda;and Tamas Kalman;Tamas Kalman;Tamas Kalman;Tamas Kalman;Tamas Kalman;Tamas Kalman;Tamas Kalman;Tamas Kalman;Tamas Kalman;Tamas Kalman;Keiichi Sakai
我们用两种方法引入了框架长结空间同调的BV-代数结构。第一个是以类似于查斯-沙利文的弦拓扑的方式给出的。第二个定义在与分次模的循环乘法算子相关的Hochschild同调上。后者可以应用于收敛于框架长结空间的同调的Bousfield-Salatore谱序列。推测这两种结构彼此重合。
We introduce BV-algebra structures on the homology of the space of framed long knots inin two ways. The first one is given in a similar fashion to Chas–Sullivan’s string topology. The second one is defined on the Hochschild homology associated with a cyclic, multiplicative operad of graded modules. The latter can be applied to Bousfield–Salvatore spectral sequence converging to the homology of the space of framed long knots. Conjecturally these two structures coincide with each other.