Orders of the canonical vector bundles over configuration spaces of finite graphs

2021/10/25 by Fred Cohen, Frederick R. Cohen, Cohen, Frederick R. +2 · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Geometric Topology (math.GT) #Homotopy and Cohomology in Algebraic Topology #math.AT #math.CO #math.GT

paper · pdf · doi:10.48550/arxiv.2110.12688

to appear in Pacifica Journal of Mathematics

arxiv created 2021/10/25 · openalex publication_date 2021/10/25 · arxiv updated 2021/10/26 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We prove that the order of the canonical vector bundle over the configuration space is 2 for a general planar graph, and is 4 for a nonplanar graph.

Cited by

• Topological persistence of configuration spaces and independence complexes for digraphs

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