Algebraic and Heegaard-floer Invariants of Knots with Slice Bing Doubles
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چکیده
If the Bing double of a knot K is slice, then K is algebraically slice. In addition the Heegaard–Floer concordance invariants τ , developed by Ozsváth-Szabó, and δ, developed by Manolescu and Owens, vanish on K. For a knot K ⊂ S, the Bing double, denoted B(K), is the two component link illustrated schematically in Figure 1. Within the box the two strands run parallel along a diagram for K, and for this to be well-defined, independent of the choice of diagram of K, the strands are twisted so that their algebraic crossing number within the box is zero.
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تاریخ انتشار 2008