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Finding a family of knots in the 3-sphere whose Kakimizu complex has arbitrarily high dimension.
Student-Run Geometry/Topology Seminar| Speaker: | Bassem Saad, UC Davis |
| Location: | 1147 MSB |
| Start time: | Tue, Jan 18 2011, 12:10PM |
In this talk I will introduce the kakimizu complex, the distance metric used in the complex, and the infinite cyclic cover of the knot exterior. Finally, for any integer n I will show that there exists a knot whose Kakimizu complex has dimension n.