Geometry and topology · Oct 6, 2026

A counterexample to the nearby Lagrangian conjecture

Disproves the unrestricted nearby Lagrangian conjecture. For some sufficiently large even N, constructs a closed exact embedded Lagrangian in T∗(S9×SN−1)T^*(S^9\times S^{N-1}) that is diffeomorphic to the base but not Hamiltonian isotopic to its zero section.

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