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The Arnold Invariants of Plane Curves
Student-Run Geometry/Topology Seminar| Speaker: | Emi Arima, UC Davis |
| Location: | 593 Kerr |
| Start time: | Wed, Sep 21 2005, 1:10PM |
The theory of plane curves, which are immersions of the circle into the plane, can be viewed in some ways as a lower dimensional analogue of knot theory. The study of these curves attracted renewed attention after Arnold introduced his three basic invariants in the early 1990’s. In my talk I will introduce the different notions of equivalence for plane curves, introduce Arnold’s three basic invariants, and discuss how to calculate these invariants.