A note on 0-bipolar knots of concordance order two

الأصل · EN

Let T be the group of smooth concordance classes of topologically slice knots, and {0}⊂⊂ Tₙ₊₁ₙ⊂ ⊂ T₀⊂ T be the bipolar filtration. In this paper, we show that a proper collection of the knots employed by Hedden, Kim, and Livingston to prove Z₂∞ < T can be used to see Z₂∞ < T₀/T₁.