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Companionship Graphs and the JSJ-Decomposition of Knot Exteriors
Student-Run Geometry/Topology Seminar| Speaker: | Bassem Saad, UC Davis |
| Location: | 2112 MSB |
| Start time: | Mon, Jan 30 2012, 4:10PM |
From the JSJ-decomposition of the knot exteriors embedded in the 3-sphere, one may construct a companionship graph. There is then a bijection correspondence between the knot and the companion ship graph.