2025/04/23 by Marino, Andrea, Salvatore, Paolo · 1 citation
#Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.2504.16785
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 ℝ3, 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.