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arXiv 2017-12-27 0 views

A note on 0-bipolar knots of concordance order two

Chen, Wenzhao

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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.

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