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arXiv · 2302.05068

Certain connect sums of torus knots with infinitely many non-characterizing slopes

Konstantinos Varvarezos
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Abstract

For a knot $K,$ a slope $r$ is said to be characterizing if for no other knot $J$ does $r$-framed surgery along $J$ yield the same manifold as $r$-framed surgery on $K.$ Applying a condition of Baker and Motegi, we show that the knots $T_{2,2n+3}\#T_{-2,2n+1}$ have infinitely many non-characterizing slopes.

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Konstantinos Varvarezos. 2023-02-10. Certain connect sums of torus knots with infinitely many non-characterizing slopes. https://arxiv.org/abs/2302.05068

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