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4:00 pm Monday, November 26, 2012 Stulken Topology Seminar: Generalized bridge numbers of iterated torus knotsby Alex Zupan (U. Texas Austin, NSF Postdoctoral fellow) in HB 427- Let K be a knot in the 3-sphere. For each non-negative integer g, the knot K has a bridge number number with respect to a genus g Heegaard surface. If K is "generic," these genus g bridge numbers are highly predictable using the classical bridge number of K. However, we will show that certain iterated torus knots can realize a wide array of unexpected genus g bridge numbers.
Submitted by cochran@rice.edu |