Unknotting number and genus of 3-braid knots
Lee, Eon-Kyung · Lee, Sang-Jin
Original · EN
Let u(K) and g(K) denote the unknotting number and the genus of a knot K, respectively. For a 3-braid knot K, we show that u(K)≤ g(K) holds, and that if u(K)=g(K) then K is either a 2-braid knot, a connected sum of two 2-braid knots, the figure-eight knot, a strongly quasipositive knot or its mirror image.
English translation
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