The non-orientable 4-genus of a knot K in S³, denoted γ₄(K), measures the minimum genus of a non-orientable surface in B⁴ bounded by K. We compute bounds for the non-orientable 4-genus of knots T5, q and T6, q, extending previous research. Additionally, we provide a generalized, non-recursive formula for d(S³₋₁(Tp,q)), the d-invariant of -1-surgery on torus knots.
No takes yet. Share an insight, caveat, or question.
Fairchild et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: