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Thin position for a connected sum of small knots
Student-Run Geometry/Topology SeminarSpeaker: | Alice Stevens, UC Davis |
Location: | 693 Kerr |
Start time: | Thu, Oct 20 2005, 12:40PM |
Yo'av Rieck and Eric Sedgwick showed that every thin position for a connected sum of mp-small knots is obtained by vertically stacking thin positions of the individual summands. The proof involves an analysis of the thin level spheres of the presentation of the knot. I will try to go over as many ideas of the proof as time permits.