A note on 0-bipolar knots of concordance order two
Abstract
Let T be the group of smooth concordance classes of topologically slice knots, and \0\⊂·s⊂ Tn+1⊂Tn⊂ ·s⊂ 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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