Stulken Topology Seminar: Generalized bridge numbers of iterated torus knots
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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.
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