Boring Split Links and Unknots
نویسنده
چکیده
Boring is an operation which converts a knot or two-component link in a 3–manifold into another knot or two-component link. It generalizes rational tangle replacement and can be described as a type of 2–handle attachment. Sutured manifold theory is used to find lower bounds for the genus of knots obtained by boring split links and unknots. Bounds on the euler characteristic of essential planar surfaces in the knot or link complement are also found, giving some information about reducing surgeries on certain 2–component links in the 3–sphere.
منابع مشابه
Boring Split Links
Boring is an operation which converts a knot or two-component link in a 3–manifold into another knot or two-component link. It generalizes rational tangle replacement and can be described as a type of 2–handle attachment. Sutured manifold theory is used to study the existence of essential spheres and planar surfaces in the exteriors of knots and links obtained by boring a split link. It is show...
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