Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 10, Number 2 (2010), 789-823.
Bridge number and Conway products
In this paper, we give a structure theorem for c-incompressible Conway spheres in link complements in terms of the standard height function on . We go on to define the generalized Conway product of two links and . Provided satisfies minor additional hypotheses, we prove the lower bound for the bridge number of the generalized Conway product where is the distinguished factor. Finally, we present examples illustrating that this lower bound is tight.
Algebr. Geom. Topol., Volume 10, Number 2 (2010), 789-823.
Received: 13 May 2009
Revised: 15 December 2009
Accepted: 30 January 2010
First available in Project Euclid: 19 December 2017
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Blair, Ryan C. Bridge number and Conway products. Algebr. Geom. Topol. 10 (2010), no. 2, 789--823. doi:10.2140/agt.2010.10.789. https://projecteuclid.org/euclid.agt/1513715114