Bridge number and tangle products

Por • 31 may, 2022 • Sección: Ambiente

Ryan Blair

We show that essential punctured spheres in the complement of links with distance three bridge spheres have bounded complexity. We define the operation of tangle product, a generalization of both connected sum and Conway product. Finally, we use the bounded complexity of essential punctured spheres to show that 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.

arXiv:1108.5640v1 [math.GT]

Geometric Topology (math.GT)

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