2011/07/23 by Chad Giusti, Giusti, Chad
Computer Science · Mathematics · #55T99 #57M27 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.AT #math.GT #msc:55T99 #msc:57M27
paper · pdf · doi:10.48550/arxiv.1107.4717
13 pages, 4 figures
arxiv created 2011/07/23 · openalex publication_date 2011/07/23 · arxiv updated 2011/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct an inverse system of unstable Vassiliev spectral sequences on the spaces of plumbers' knots, which model the homotopy type of the space of long knots, and show that the limit of these sequences contains the finite type invariants in their usual complexity. Utilizing the cell structure on the discriminant of the spaces of plumbers curves, we extend the notion of Vassiliev derivative to all singularity types of plumbers' curves.