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

Details Topology of configuration space of two particles on a graph, II Topology of configuration space of two particles on a graph, II

2010-05-13

arxiv.org/abs/1005.2300v2

Mathematics

Algebraic Topology

24 pages, 12 figures; Section 7 revised in v2, published version

Scientific paper

This paper continues the investigation of the configuration space of two distinct points on a graph. We analyze the process of adding an additional edge to the graph and the resulting changes in the topology of the configuration space. We introduce a linking bilinear form on the homology group of the graph with values in the cokernel of the intersection form (introduced in Part I of this work). For a large class of graphs, which we call mature graphs, we give explicit expressions for the homology groups of the configuration space. We show that under a simple condition, adding an edge to a mature graph yields another mature graph.

Affiliated with

Also associated with

No associations

Rating

Topology of configuration space of two particles on a graph, II does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Topology of configuration space of two particles on a graph, II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topology of configuration space of two particles on a graph, II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-640569