Upsilon invariants of L-space cable knots

Motoo Tange

Upsilon invariants of L-space cable knots

Geometric Topology 2021-10-01 v3

Authors: Motoo Tange

Abstract

We give a formula of the Upsilon invariant of any L-space cable knot $K_{p,q}$ using $p,\Upsilon_K$ and $\Upsilon_{T_{p,q}}$ . 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.

Keywords

Upsilon invariant L-space knots cable knots knot concordance iterated cable knots Heegaard Floer homology

Cite

@article{arxiv.1703.08828,
  title  = {Upsilon invariants of L-space cable knots},
  author = {Motoo Tange},
  journal= {arXiv preprint arXiv:1703.08828},
  year   = {2021}
}

Comments

25 pages, 9 figures

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