An infinite family of strongly invertible L-space knots without Khovanov thin surgery

2026/08/01 by Marc Kegel, Masakazu Teragaito
Mathematics · #math.GT #msc:57K10 #msc:57K18

paper · pdf

15 pages, 9 figures

arxiv created 2026/08/01 · arxiv updated 2026/08/04

Abstract

Currently, there exist only three strongly invertible L-space knots that are known to admit no Khovanov thin surgery. In this article, we give the first infinite family of such knots.

Citations

• The complete 10-tetrahedra census of orientable cusped hyperbolic 3-manifolds
• The search for alternating surgeries
• Two curious strongly invertible L-space knots
• Hyperbolic L-space knots and their formal semigroups
• L-space knots with tunnel number >1 by experiment
• A census of exceptional Dehn fillings
• Semigroups of L-space knots and nonalgebraic iterated torus knots
• Khovanov homology and the symmetry group of a knot
• Surgery obstructions from Khovanov homology
• Word hyperbolic Dehn surgery