ON THE MINIMAL SYMPLECTIC AREA OF LAGRANGIANS

The paper proves the stated bounds on minimal symplectic area via a truncated Viterbo transfer to T*L, exploiting that SH*(T*L) ≠ 0 and that no k-semi-dilation exists for K(π,1)-Lagrangians, and builds the transfer under explicit action/area thresholds (Propositions 3.2–3.3) to derive Theorem 1.3 parts (1)–(2) . The candidate solution instead proposes a point-constraint/neck-stretching argument using an action spectral number defined from the connecting map δ of positive (equivariant) symplectic cohomology. This is a different (Mohnke-style) route that, while plausible, requires additional technical hypotheses in the symplectically aspherical (non-exact) case where the C0/C+ splitting is delicate and must be handled with care (the paper notes such issues and uses a filtered SH[0] framework rather than δ from SH+ in the aspherical case) . Net: the paper’s argument is correct as written; the model’s argument outlines a reasonable alternative proof but omits some transversality/compactness and splitting details that would need to be filled in.