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math.SG2025
On the parametrised Whitehead torsion of families of nearby Lagrangian submanifolds
Sylvain Courte, Noah Porcelli
Motivated by the strong nearby Lagrangian conjecture, we constrain the parametrised Whitehead torsion of a family of closed exact Lagrangian submanifolds in a cotangent bundle. We…
math.SG2025
Normal invariant of nearby Lagrangians via twisted derivative
Mohammed Abouzaid, Daniel Álvarez-Gavela, Sylvain Courte +1
Let and be closed, connected, smooth manifolds and let be an exact Lagrangian embedding. The induced map is known by earlier work to be a…
math.SG2018
Contactomorphism groups and Legendrian flexibility
Sylvain Courte, Patrick Massot
We explain a connection between the algebraic and geometric properties of groups of contact transformations, open book decompositions, and flexible Legendrian embeddings. The main…