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

Konstantinos Varvarezos

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

Geometric Topology 2023-03-20 v2

Authors: Konstantinos Varvarezos

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.

Keywords

torus knots connect sum non-characterizing slopes framed surgery knot theory

Cite

@article{arxiv.2302.05068,
  title  = {Certain connect sums of torus knots with infinitely many non-characterizing slopes},
  author = {Konstantinos Varvarezos},
  journal= {arXiv preprint arXiv:2302.05068},
  year   = {2023}
}

Comments

28 pages, 24 figures; revised to clarify the orientability of the banded annulus

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

Abstract

Keywords

Cite

Comments

Related papers