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

Kathryn Barnett; Michael Farber

doi:10.2140/agt.2009.9.593

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

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	593-624
Number of pages	32
Journal	Algebraic and Geometric Topology
Volume	9
Issue number	1
DOIs	https://doi.org/10.2140/agt.2009.9.593
State	Published - 2009
Externally published	Yes

Keywords

Cohomology
Configuration space
Deleted product
Graph
Planar graph

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10.2140/agt.2009.9.593

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

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Keywords

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