A counterexample to the nearby Lagrangian conjecture

Claimed, not checked 1 paper September 23, 2026

What the paper claims, in its own words

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