标题： R^3中纽结的Sinha谱序列非塌陷 显示英文标题

标题： Non collapse of the Sinha spectral sequence for knots in R^3

摘要： 我们给出了长 knot 空间在 mod 2 同调谱序列的第三页之前的显式描述，该空间在$\mathbb{R}^3$中，据推测与 Vassiliev 谱序列等价。 这个描述来源于欧几里得构型空间的 Fox Neuwirth 链复形上的多复形结构。 计算机辅助计算揭示了一个非平凡的从二维类出发的第三页微分，这与有理数情形不同。 显示英文摘要

摘要： We give an explicit description up to the third page of the Sinha homology mod 2 spectral sequence for the space of long knots in $\mathbb{R}^3$, that is conjecturally equivalent to the Vassiliev spectral sequence. The description arises from a multicomplex structure on the Fox Neuwirth chain complexes for euclidean configuration spaces. A computer assisted calculation reveals a non trivial third page differential from a 2-dimensional class, in contrast to the rational case.