Topology of configuration space of two particles on a graph, I

Kathryn Barnett, Michael Farber

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we study the homology and cohomology of configuration spaces F (,2) 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 H*(F(,2);Q) in the case of planar graphs.

Original languageEnglish
Pages (from-to)593-624
Number of pages32
JournalAlgebraic and Geometric Topology
Volume9
Issue number1
DOIs
StatePublished - 2009
Externally publishedYes

Keywords

  • Cohomology
  • Configuration space
  • Deleted product
  • Graph
  • Planar graph

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