Quantitative conditions for right-handedness

The paper proves: if κ(γ0) > 2π (with γ0 bounding a ∂-strong disk-like global surface of section in a dynamically convex Reeb flow on S3), then the flow is right-handed (Theorem 1.13) . Case B (both measures on the same periodic orbit) follows from Lemma 2.13, which shows all periodic orbits have strictly positive transverse rotation in a Seifert framing when κ(γ0) > 2π . Case A (measures not supported on one periodic orbit) follows from Proposition 2.15, which yields a quantitative lower bound on the normalised linking liminf (equation (59)) . The proof relies on precise global coordinates around γ0 (Proposition 2.8) and the property that linking equals a winding count in those coordinates . The model’s solution, while capturing the overall strategy (use of a ∂-strong GSS, angle growth vs. returns, positivity of linking), contains crucial errors: (i) it asserts a uniform-in-time inequality from a liminf definition of κ that is too strong; (ii) it uses a degree/diagonal argument on S1×S1 that is not rigorously set up from interval data; and (iii) it miscomputes the periodic-orbit estimate, incorrectly concluding ρ(γ) > Nγ instead of the paper’s correct conclusion ρ(γ) > 0 (compare the paper’s equation (23)) . It also omits required hypotheses (dynamical convexity; γ0 unknotted with self-linking −1) and ignores the Appendix proof that κ(γ0) is independent of the choice of section/trivialisation .