On sums of torus knots concordant to alternating knots
arXiv:1712.05252 · doi:10.1112/blms.12228
Abstract
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.
19 pages, comments are welcome. Final version to appear in Bulletin of the London Mathematical Society
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