Uniqueness of $L^{(1,\infty)}$-Hamiltonians and almost-every-moment Lagrangian disjunction

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123128This paper is withdrawn by the author due to a critical error in the proof of the main theorem, Theorem 3.10. (More specifically the identity (5.18) is incorrect in that the $T^*S^1(2)$-factor is missing in the right hand side of the equality.) Therefore the uniquenss question for $L^{(1,\infty)}$-case is still open.This paper has been withdrawn. Proofs of Lemma 4.4 and Proposition 4.7 have been moved to the revised version of math.SG/0612795Symplectic GeometryDynamical Systems53D05; 28D10Uniqueness of $L^{(1,\infty)}$-Hamiltonians and almost-every-moment Lagrangian disjunctiontext