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The slicing degree of a knot K is defined as the smallest integer k such that K is k-slice in \#ⁿ CP² for some n. In this paper, we establish bounds for the slicing degrees of knots using Rasmussen's s-invariant, knot Floer homology and singular instanton homology. We compute the slicing degrees for many small knots (with crossing numbers up to 9) and for some families of torus knots.
Qianhe Qin (Wed,) studied this question.
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