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math.GT2009★ 5 cited
Fibered knots and Property 2R, II
Robert E. Gompf, Martin Scharlemann
A knot K in the 3-sphere is said to have Property nR if, whenever K is a component of an n-component link L and some integral surgery on L produces the connected sum of n copies of…
math.GT2009★ 2 cited
Fibered knots and Property 2R
Martin Scharlemann, Abigail Thompson
It is shown, using sutured manifold theory, that if there are any 2-component counterexamples to the Generalized Property R Conjecture, then any knot of least genus among component…