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

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Barnett, Kathryn and Farber, Michael (2009) Topology of configuration space of two particles on a graph, I. Algebraic & Geometric Topology, Vol.9 (No.1). pp. 593-624. doi:10.2140/agt.2009.9.593 ISSN 1472-2747.

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Official URL: http://dx.doi.org/10.2140/agt.2009.9.593

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Abstract

In this paper we study the homology and cohomology of configuration spaces F(Γ,2) of two distinct particles on a graph Γ. Our main tool is intersection theory for cycles in graphs. We obtain an explicit description of the cohomology algebra H∗(F(Γ,2);Q) in the case of planar graphs.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title: Algebraic & Geometric Topology
Publisher: University of Warwick, Mathematics Institute
ISSN: 1472-2747
Official Date: 30 March 2009
Dates:
DateEvent
30 March 2009Published
Volume: Vol.9
Number: No.1
Page Range: pp. 593-624
DOI: 10.2140/agt.2009.9.593
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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