Seminar October 11 – Ryan Blair

On October 11, the geometry-topology seminar hosts Ryan Blair of the University of Pennsylvania. He will speak about:

Title: Bridge number and tangle product of knots

Abstract: Tangle product is a very general operation in which two knots are amalgamated together to create a third. The operation of tangle product generalizes both connected sum and Conway product of knots. The bridge number of a knot is the fewest number of maxima necessary to form an embedding of the knot in 3-space. I will present results showing that, under certain hypotheses involving the distance of a minimal bridge surface in the curve complex, the bridge number of a tangle product is at least the sum of the bridge numbers of the two factor links up to a constant error.

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