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arxiv: 1712.05252 · v2 · pith:K5ICNYZAnew · submitted 2017-12-14 · 🧮 math.GT

On sums of torus knots concordant to alternating knots

classification 🧮 math.GT
keywords knotssumstorusalternatingconcordantanalysisaskedbrief
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We consider the question, asked by Friedl, Livingston and Zentner, of which sums of torus knots are concordant to alternating knots. After a brief analysis of the problem in its full generality, we focus on sums of two torus knots. We describe some effective obstructions based on Heegaard Floer homology.

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