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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
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: |
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| 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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