2009/03/12 by Kathryn Barnett, Michael Färber, Barnett, Kathryn +2
Computer Science · Mathematics · #55R80 #57M15. #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.AT #math.CO #msc:55R80 #msc:57M15.
paper · pdf · doi:10.48550/arxiv.0903.2180
31 pages, 15 figures
arxiv created 2009/03/12 · openalex publication_date 2009/03/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we study the homology and cohomology of confguration spaces of two distinct particles on a graph. Our main tool is intersection theory for cycles in graphs. We obtain an explicit description of the cohomology algebra of the configuration space in the case of planar graphs.