Bridge number and Conway products
نویسندگان
چکیده
منابع مشابه
Conway Products and Links with Multiple Bridge Surfaces
Suppose a link K in a 3-manifold M is in bridge position with respect to two different bridge surfaces P and Q, both of which are c-weakly incompressible in the complement of K. Then either • P and Q can be properly isotoped to intersect in a nonempty collection of curves that are essential on both surfaces, or • K is a Conway product with respect to an incompressible Conway sphere that natural...
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We show that there are hyperbolic tunnel-number one knots with arbitrarily high bridge number and that “most” tunnelnumber one knots are not one-bridge with respect to an unknotted torus. The proof relies on a connection between bridge number and a certain distance in the curve complex of a genus-two surface.
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2010
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2010.10.789