The parametrised Whitehead torsion of a family of nearby Lagrangians in a cotangent bundle factors through the stable h-cobordism space of a point, yielding triviality on π0 and π1.
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On the parametrised Whitehead torsion of families of nearby Lagrangian submanifolds
The parametrised Whitehead torsion of a family of nearby Lagrangians in a cotangent bundle factors through the stable h-cobordism space of a point, yielding triviality on π0 and π1.