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Additivity of Bridge Numbers of Knots
Student-Run Research Seminar| Speaker: | Jennifer Schultens, UC Davis |
| Location: | 693 Kerr |
| Start time: | Wed, Nov 19 2003, 12:00AM |
Abstract: We will discuss knots, connected sum of knots, satellite knots and provide a new proof of the following results of H. Schubert: If K is a satellite knot with companion J and pattern L with index k, then the bridge numbers satisfy the following: $b(K) \geq k \cdot (b(J))$. In addition, if K is a composite knot with summands J and L, then b(K) = b(J) + b(L) - 1.