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arXiv · 1703.08828

Upsilon invariants of L-space cable knots

Motoo Tange
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Abstract

We give a formula of the Upsilon invariant of any L-space cable knot $K_{p,q}$ using $p,Υ_K$ and $Υ_{T_{p,q}}$. The integral value of the Upsilon invariant gives a ${\mathbb Q}$-valued knot concordance invariant. We compute the integral values for L-space iterated cable knots.

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Motoo Tange. 2021-09-30. Upsilon invariants of L-space cable knots. https://arxiv.org/abs/1703.08828

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